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Finding the Fourth Proportional to 135,125.32, 186,490.04 and 78,525.76

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Solution

The fourth proportional to 135,125.32, 186,490.04 and 78,525.76 is: 108,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,125.32 : 186,490.04 = 78,525.76 : x
  2. Step 2: Convert to fraction form
    135,125.32/186,490.04 = 78,525.76/x
  3. Step 3: Cross multiply
    135,125.32x = 186,490.04 × 78,525.76
  4. Step 4: Simplify right side
    135,125.32x = 14,644,272,123.43
  5. Step 5: Solve for x
    x = 14,644,272,123.43/135,125.32
  6. Step 6: Final answer
    x = 108,375.49

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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.