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Finding the Fourth Proportional to 137,254.53, 205,898.41 and 48,489.87

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Solution

The fourth proportional to 137,254.53, 205,898.41 and 48,489.87 is: 72,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,254.53 : 205,898.41 = 48,489.87 : x
  2. Step 2: Convert to fraction form
    137,254.53/205,898.41 = 48,489.87/x
  3. Step 3: Cross multiply
    137,254.53x = 205,898.41 × 48,489.87
  4. Step 4: Simplify right side
    137,254.53x = 9,983,987,966.84
  5. Step 5: Solve for x
    x = 9,983,987,966.84/137,254.53
  6. Step 6: Final answer
    x = 72,740.68

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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.