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Finding the Fourth Proportional to 153,022.65, 214,453.16 and 153,022.65

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Solution

The fourth proportional to 153,022.65, 214,453.16 and 153,022.65 is: 214,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.65 : 214,453.16 = 153,022.65 : x
  2. Step 2: Convert to fraction form
    153,022.65/214,453.16 = 153,022.65/x
  3. Step 3: Cross multiply
    153,022.65x = 214,453.16 × 153,022.65
  4. Step 4: Simplify right side
    153,022.65x = 32,816,190,078.96
  5. Step 5: Solve for x
    x = 32,816,190,078.96/153,022.65
  6. Step 6: Final answer
    x = 214,453.16

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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.