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Finding the Fourth Proportional to 138,630.38, 191,310.06 and 74,968.16

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Solution

The fourth proportional to 138,630.38, 191,310.06 and 74,968.16 is: 103,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,630.38 : 191,310.06 = 74,968.16 : x
  2. Step 2: Convert to fraction form
    138,630.38/191,310.06 = 74,968.16/x
  3. Step 3: Cross multiply
    138,630.38x = 191,310.06 × 74,968.16
  4. Step 4: Simplify right side
    138,630.38x = 14,342,163,187.69
  5. Step 5: Solve for x
    x = 14,342,163,187.69/138,630.38
  6. Step 6: Final answer
    x = 103,456.13

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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.