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Finding the Fourth Proportional to 138,410.56, 191,006.57 and 74,748.36

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Solution

The fourth proportional to 138,410.56, 191,006.57 and 74,748.36 is: 103,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.56 : 191,006.57 = 74,748.36 : x
  2. Step 2: Convert to fraction form
    138,410.56/191,006.57 = 74,748.36/x
  3. Step 3: Cross multiply
    138,410.56x = 191,006.57 × 74,748.36
  4. Step 4: Simplify right side
    138,410.56x = 14,277,427,856.73
  5. Step 5: Solve for x
    x = 14,277,427,856.73/138,410.56
  6. Step 6: Final answer
    x = 103,152.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.