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Finding the Fourth Proportional to 266,798.64, 400,101.60 and 89,264.13

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Solution

The fourth proportional to 266,798.64, 400,101.60 and 89,264.13 is: 133,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,798.64 : 400,101.60 = 89,264.13 : x
  2. Step 2: Convert to fraction form
    266,798.64/400,101.60 = 89,264.13/x
  3. Step 3: Cross multiply
    266,798.64x = 400,101.60 × 89,264.13
  4. Step 4: Simplify right side
    266,798.64x = 35,714,721,235.61
  5. Step 5: Solve for x
    x = 35,714,721,235.61/266,798.64
  6. Step 6: Final answer
    x = 133,863.96

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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.