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Finding the Fourth Proportional to 132,185.50, 182,332.98 and 78,432.46

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Solution

The fourth proportional to 132,185.50, 182,332.98 and 78,432.46 is: 108,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,185.50 : 182,332.98 = 78,432.46 : x
  2. Step 2: Convert to fraction form
    132,185.50/182,332.98 = 78,432.46/x
  3. Step 3: Cross multiply
    132,185.50x = 182,332.98 × 78,432.46
  4. Step 4: Simplify right side
    132,185.50x = 14,300,824,160.53
  5. Step 5: Solve for x
    x = 14,300,824,160.53/132,185.50
  6. Step 6: Final answer
    x = 108,187.54

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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.