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Finding the Fourth Proportional to 138,478.19, 191,099.99 and 74,815.97

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Solution

The fourth proportional to 138,478.19, 191,099.99 and 74,815.97 is: 103,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,478.19 : 191,099.99 = 74,815.97 : x
  2. Step 2: Convert to fraction form
    138,478.19/191,099.99 = 74,815.97/x
  3. Step 3: Cross multiply
    138,478.19x = 191,099.99 × 74,815.97
  4. Step 4: Simplify right side
    138,478.19x = 14,297,330,350.38
  5. Step 5: Solve for x
    x = 14,297,330,350.38/138,478.19
  6. Step 6: Final answer
    x = 103,246.08

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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.