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Finding the Fourth Proportional to 153,022.40, 214,452.80 and 153,022.40

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Solution

The fourth proportional to 153,022.40, 214,452.80 and 153,022.40 is: 214,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.40 : 214,452.80 = 153,022.40 : x
  2. Step 2: Convert to fraction form
    153,022.40/214,452.80 = 153,022.40/x
  3. Step 3: Cross multiply
    153,022.40x = 214,452.80 × 153,022.40
  4. Step 4: Simplify right side
    153,022.40x = 32,816,082,142.72
  5. Step 5: Solve for x
    x = 32,816,082,142.72/153,022.40
  6. Step 6: Final answer
    x = 214,452.80

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.