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Finding the Fourth Proportional to 252,087.86, 347,881.29 and 137,366.52

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Solution

The fourth proportional to 252,087.86, 347,881.29 and 137,366.52 is: 189,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,087.86 : 347,881.29 = 137,366.52 : x
  2. Step 2: Convert to fraction form
    252,087.86/347,881.29 = 137,366.52/x
  3. Step 3: Cross multiply
    252,087.86x = 347,881.29 × 137,366.52
  4. Step 4: Simplify right side
    252,087.86x = 47,787,242,180.41
  5. Step 5: Solve for x
    x = 47,787,242,180.41/252,087.86
  6. Step 6: Final answer
    x = 189,565.82

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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.