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Finding the Fourth Proportional to 103,575.38, 142,934.17 and 61,133.91

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Solution

The fourth proportional to 103,575.38, 142,934.17 and 61,133.91 is: 84,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,575.38 : 142,934.17 = 61,133.91 : x
  2. Step 2: Convert to fraction form
    103,575.38/142,934.17 = 61,133.91/x
  3. Step 3: Cross multiply
    103,575.38x = 142,934.17 × 61,133.91
  4. Step 4: Simplify right side
    103,575.38x = 8,738,124,110.49
  5. Step 5: Solve for x
    x = 8,738,124,110.49/103,575.38
  6. Step 6: Final answer
    x = 84,364.88

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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.