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Finding the Fourth Proportional to 266,265.60, 399,284.10 and 97,730.52

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Solution

The fourth proportional to 266,265.60, 399,284.10 and 97,730.52 is: 146,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,265.60 : 399,284.10 = 97,730.52 : x
  2. Step 2: Convert to fraction form
    266,265.60/399,284.10 = 97,730.52/x
  3. Step 3: Cross multiply
    266,265.60x = 399,284.10 × 97,730.52
  4. Step 4: Simplify right side
    266,265.60x = 39,022,242,720.73
  5. Step 5: Solve for x
    x = 39,022,242,720.73/266,265.60
  6. Step 6: Final answer
    x = 146,553.83

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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.