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Finding the Fourth Proportional to 85,841.92, 118,201.28 and 76,142.40

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Solution

The fourth proportional to 85,841.92, 118,201.28 and 76,142.40 is: 104,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,841.92 : 118,201.28 = 76,142.40 : x
  2. Step 2: Convert to fraction form
    85,841.92/118,201.28 = 76,142.40/x
  3. Step 3: Cross multiply
    85,841.92x = 118,201.28 × 76,142.40
  4. Step 4: Simplify right side
    85,841.92x = 9,000,129,142.27
  5. Step 5: Solve for x
    x = 9,000,129,142.27/85,841.92
  6. Step 6: Final answer
    x = 104,845.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.