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Finding the Fourth Proportional to 102,099.25, 140,876.31 and 59,649.58

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Solution

The fourth proportional to 102,099.25, 140,876.31 and 59,649.58 is: 82,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.25 : 140,876.31 = 59,649.58 : x
  2. Step 2: Convert to fraction form
    102,099.25/140,876.31 = 59,649.58/x
  3. Step 3: Cross multiply
    102,099.25x = 140,876.31 × 59,649.58
  4. Step 4: Simplify right side
    102,099.25x = 8,403,212,019.07
  5. Step 5: Solve for x
    x = 8,403,212,019.07/102,099.25
  6. Step 6: Final answer
    x = 82,304.35

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