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Finding the Fourth Proportional to 266,101.50, 398,940.24 and 153,654.16

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Solution

The fourth proportional to 266,101.50, 398,940.24 and 153,654.16 is: 230,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,101.50 : 398,940.24 = 153,654.16 : x
  2. Step 2: Convert to fraction form
    266,101.50/398,940.24 = 153,654.16/x
  3. Step 3: Cross multiply
    266,101.50x = 398,940.24 × 153,654.16
  4. Step 4: Simplify right side
    266,101.50x = 61,298,827,467.40
  5. Step 5: Solve for x
    x = 61,298,827,467.40/266,101.50
  6. Step 6: Final answer
    x = 230,358.82

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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.