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Finding the Fourth Proportional to 137,551.46, 206,358.17 and 48,804.82

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Solution

The fourth proportional to 137,551.46, 206,358.17 and 48,804.82 is: 73,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,551.46 : 206,358.17 = 48,804.82 : x
  2. Step 2: Convert to fraction form
    137,551.46/206,358.17 = 48,804.82/x
  3. Step 3: Cross multiply
    137,551.46x = 206,358.17 × 48,804.82
  4. Step 4: Simplify right side
    137,551.46x = 10,071,272,582.46
  5. Step 5: Solve for x
    x = 10,071,272,582.46/137,551.46
  6. Step 6: Final answer
    x = 73,218.22

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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.