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Finding the Fourth Proportional to 137,951.39, 190,377.93 and 77,523.23

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Solution

The fourth proportional to 137,951.39, 190,377.93 and 77,523.23 is: 106,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.39 : 190,377.93 = 77,523.23 : x
  2. Step 2: Convert to fraction form
    137,951.39/190,377.93 = 77,523.23/x
  3. Step 3: Cross multiply
    137,951.39x = 190,377.93 × 77,523.23
  4. Step 4: Simplify right side
    137,951.39x = 14,758,711,102.42
  5. Step 5: Solve for x
    x = 14,758,711,102.42/137,951.39
  6. Step 6: Final answer
    x = 106,984.87

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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.