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Finding the Fourth Proportional to 137,190.76, 205,794.14 and 52,951.36

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Solution

The fourth proportional to 137,190.76, 205,794.14 and 52,951.36 is: 79,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,190.76 : 205,794.14 = 52,951.36 : x
  2. Step 2: Convert to fraction form
    137,190.76/205,794.14 = 52,951.36/x
  3. Step 3: Cross multiply
    137,190.76x = 205,794.14 × 52,951.36
  4. Step 4: Simplify right side
    137,190.76x = 10,897,079,593.03
  5. Step 5: Solve for x
    x = 10,897,079,593.03/137,190.76
  6. Step 6: Final answer
    x = 79,430.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.