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Finding the Fourth Proportional to 266,232.29, 398,711.43 and 153,678.33

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Solution

The fourth proportional to 266,232.29, 398,711.43 and 153,678.33 is: 230,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,232.29 : 398,711.43 = 153,678.33 : x
  2. Step 2: Convert to fraction form
    266,232.29/398,711.43 = 153,678.33/x
  3. Step 3: Cross multiply
    266,232.29x = 398,711.43 × 153,678.33
  4. Step 4: Simplify right side
    266,232.29x = 61,273,306,714.31
  5. Step 5: Solve for x
    x = 61,273,306,714.31/266,232.29
  6. Step 6: Final answer
    x = 230,149.80

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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.