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Finding the Fourth Proportional to 137,784.60, 206,614.55 and 49,040.46

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Solution

The fourth proportional to 137,784.60, 206,614.55 and 49,040.46 is: 73,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,784.60 : 206,614.55 = 49,040.46 : x
  2. Step 2: Convert to fraction form
    137,784.60/206,614.55 = 49,040.46/x
  3. Step 3: Cross multiply
    137,784.60x = 206,614.55 × 49,040.46
  4. Step 4: Simplify right side
    137,784.60x = 10,132,472,329.49
  5. Step 5: Solve for x
    x = 10,132,472,329.49/137,784.60
  6. Step 6: Final answer
    x = 73,538.50

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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.