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Finding the Fourth Proportional to 133,807.24, 200,781.08 and 58,978.63

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Solution

The fourth proportional to 133,807.24, 200,781.08 and 58,978.63 is: 88,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,807.24 : 200,781.08 = 58,978.63 : x
  2. Step 2: Convert to fraction form
    133,807.24/200,781.08 = 58,978.63/x
  3. Step 3: Cross multiply
    133,807.24x = 200,781.08 × 58,978.63
  4. Step 4: Simplify right side
    133,807.24x = 11,841,793,205.57
  5. Step 5: Solve for x
    x = 11,841,793,205.57/133,807.24
  6. Step 6: Final answer
    x = 88,498.90

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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.