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Finding the Fourth Proportional to 103,114.38, 142,321.95 and 67,241.91

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Solution

The fourth proportional to 103,114.38, 142,321.95 and 67,241.91 is: 92,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,114.38 : 142,321.95 = 67,241.91 : x
  2. Step 2: Convert to fraction form
    103,114.38/142,321.95 = 67,241.91/x
  3. Step 3: Cross multiply
    103,114.38x = 142,321.95 × 67,241.91
  4. Step 4: Simplify right side
    103,114.38x = 9,569,999,752.92
  5. Step 5: Solve for x
    x = 9,569,999,752.92/103,114.38
  6. Step 6: Final answer
    x = 92,809.56

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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.