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Finding the Fourth Proportional to 137,897.52, 206,795.19 and 49,127.46

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Solution

The fourth proportional to 137,897.52, 206,795.19 and 49,127.46 is: 73,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897.52 : 206,795.19 = 49,127.46 : x
  2. Step 2: Convert to fraction form
    137,897.52/206,795.19 = 49,127.46/x
  3. Step 3: Cross multiply
    137,897.52x = 206,795.19 × 49,127.46
  4. Step 4: Simplify right side
    137,897.52x = 10,159,322,424.92
  5. Step 5: Solve for x
    x = 10,159,322,424.92/137,897.52
  6. Step 6: Final answer
    x = 73,672.99

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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.