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Finding the Fourth Proportional to 102,099.49, 140,876.65 and 59,649.82

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Solution

The fourth proportional to 102,099.49, 140,876.65 and 59,649.82 is: 82,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.49 : 140,876.65 = 59,649.82 : x
  2. Step 2: Convert to fraction form
    102,099.49/140,876.65 = 59,649.82/x
  3. Step 3: Cross multiply
    102,099.49x = 140,876.65 × 59,649.82
  4. Step 4: Simplify right side
    102,099.49x = 8,403,266,814.70
  5. Step 5: Solve for x
    x = 8,403,266,814.70/102,099.49
  6. Step 6: Final answer
    x = 82,304.69

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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.