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Finding the Fourth Proportional to 137,273.49, 205,904.10 and 37,433.70

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Solution

The fourth proportional to 137,273.49, 205,904.10 and 37,433.70 is: 56,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,273.49 : 205,904.10 = 37,433.70 : x
  2. Step 2: Convert to fraction form
    137,273.49/205,904.10 = 37,433.70/x
  3. Step 3: Cross multiply
    137,273.49x = 205,904.10 × 37,433.70
  4. Step 4: Simplify right side
    137,273.49x = 7,707,752,308.17
  5. Step 5: Solve for x
    x = 7,707,752,308.17/137,273.49
  6. Step 6: Final answer
    x = 56,148.88

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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.