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Finding the Fourth Proportional to 155,471.90, 233,265.45 and 149,711.90

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Solution

The fourth proportional to 155,471.90, 233,265.45 and 149,711.90 is: 224,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,471.90 : 233,265.45 = 149,711.90 : x
  2. Step 2: Convert to fraction form
    155,471.90/233,265.45 = 149,711.90/x
  3. Step 3: Cross multiply
    155,471.90x = 233,265.45 × 149,711.90
  4. Step 4: Simplify right side
    155,471.90x = 34,922,613,723.86
  5. Step 5: Solve for x
    x = 34,922,613,723.86/155,471.90
  6. Step 6: Final answer
    x = 224,623.32

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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.