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Finding the Fourth Proportional to 137,324.76, 205,987.80 and 48,578.34

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Solution

The fourth proportional to 137,324.76, 205,987.80 and 48,578.34 is: 72,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,324.76 : 205,987.80 = 48,578.34 : x
  2. Step 2: Convert to fraction form
    137,324.76/205,987.80 = 48,578.34/x
  3. Step 3: Cross multiply
    137,324.76x = 205,987.80 × 48,578.34
  4. Step 4: Simplify right side
    137,324.76x = 10,006,545,384.25
  5. Step 5: Solve for x
    x = 10,006,545,384.25/137,324.76
  6. Step 6: Final answer
    x = 72,867.74

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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.