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Finding the Fourth Proportional to 137,262.14, 205,909.86 and 48,497.48

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Solution

The fourth proportional to 137,262.14, 205,909.86 and 48,497.48 is: 72,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,262.14 : 205,909.86 = 48,497.48 : x
  2. Step 2: Convert to fraction form
    137,262.14/205,909.86 = 48,497.48/x
  3. Step 3: Cross multiply
    137,262.14x = 205,909.86 × 48,497.48
  4. Step 4: Simplify right side
    137,262.14x = 9,986,109,317.15
  5. Step 5: Solve for x
    x = 9,986,109,317.15/137,262.14
  6. Step 6: Final answer
    x = 72,752.10

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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.