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Finding the Fourth Proportional to 138,864.16, 191,636.04 and 85,178.78

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Solution

The fourth proportional to 138,864.16, 191,636.04 and 85,178.78 is: 117,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864.16 : 191,636.04 = 85,178.78 : x
  2. Step 2: Convert to fraction form
    138,864.16/191,636.04 = 85,178.78/x
  3. Step 3: Cross multiply
    138,864.16x = 191,636.04 × 85,178.78
  4. Step 4: Simplify right side
    138,864.16x = 16,323,324,091.23
  5. Step 5: Solve for x
    x = 16,323,324,091.23/138,864.16
  6. Step 6: Final answer
    x = 117,548.86

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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.