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Finding the Fourth Proportional to 136,381.32, 188,298.54 and 85,414.50

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Solution

The fourth proportional to 136,381.32, 188,298.54 and 85,414.50 is: 117,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,381.32 : 188,298.54 = 85,414.50 : x
  2. Step 2: Convert to fraction form
    136,381.32/188,298.54 = 85,414.50/x
  3. Step 3: Cross multiply
    136,381.32x = 188,298.54 × 85,414.50
  4. Step 4: Simplify right side
    136,381.32x = 16,083,425,644.83
  5. Step 5: Solve for x
    x = 16,083,425,644.83/136,381.32
  6. Step 6: Final answer
    x = 117,929.83

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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.