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Finding the Fourth Proportional to 155,057.40, 232,002.90 and 102,569.40

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Solution

The fourth proportional to 155,057.40, 232,002.90 and 102,569.40 is: 153,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,057.40 : 232,002.90 = 102,569.40 : x
  2. Step 2: Convert to fraction form
    155,057.40/232,002.90 = 102,569.40/x
  3. Step 3: Cross multiply
    155,057.40x = 232,002.90 × 102,569.40
  4. Step 4: Simplify right side
    155,057.40x = 23,796,398,251.26
  5. Step 5: Solve for x
    x = 23,796,398,251.26/155,057.40
  6. Step 6: Final answer
    x = 153,468.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.