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Finding the Fourth Proportional to 153,023.40, 214,454.20 and 153,023.40

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Solution

The fourth proportional to 153,023.40, 214,454.20 and 153,023.40 is: 214,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,023.40 : 214,454.20 = 153,023.40 : x
  2. Step 2: Convert to fraction form
    153,023.40/214,454.20 = 153,023.40/x
  3. Step 3: Cross multiply
    153,023.40x = 214,454.20 × 153,023.40
  4. Step 4: Simplify right side
    153,023.40x = 32,816,510,063.16
  5. Step 5: Solve for x
    x = 32,816,510,063.16/153,023.40
  6. Step 6: Final answer
    x = 214,454.20

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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.