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Finding the Fourth Proportional to 102,100.20, 140,877.62 and 59,650.53

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Solution

The fourth proportional to 102,100.20, 140,877.62 and 59,650.53 is: 82,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.20 : 140,877.62 = 59,650.53 : x
  2. Step 2: Convert to fraction form
    102,100.20/140,877.62 = 59,650.53/x
  3. Step 3: Cross multiply
    102,100.20x = 140,877.62 × 59,650.53
  4. Step 4: Simplify right side
    102,100.20x = 8,403,424,399.89
  5. Step 5: Solve for x
    x = 8,403,424,399.89/102,100.20
  6. Step 6: Final answer
    x = 82,305.66

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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.