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Finding the Fourth Proportional to 138,379.43, 190,957.70 and 77,122.35

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Solution

The fourth proportional to 138,379.43, 190,957.70 and 77,122.35 is: 106,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,379.43 : 190,957.70 = 77,122.35 : x
  2. Step 2: Convert to fraction form
    138,379.43/190,957.70 = 77,122.35/x
  3. Step 3: Cross multiply
    138,379.43x = 190,957.70 × 77,122.35
  4. Step 4: Simplify right side
    138,379.43x = 14,727,106,666.38
  5. Step 5: Solve for x
    x = 14,727,106,666.38/138,379.43
  6. Step 6: Final answer
    x = 106,425.55

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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.