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Finding the Fourth Proportional to 137,104.47, 205,687.44 and 48,358.71

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Solution

The fourth proportional to 137,104.47, 205,687.44 and 48,358.71 is: 72,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,104.47 : 205,687.44 = 48,358.71 : x
  2. Step 2: Convert to fraction form
    137,104.47/205,687.44 = 48,358.71/x
  3. Step 3: Cross multiply
    137,104.47x = 205,687.44 × 48,358.71
  4. Step 4: Simplify right side
    137,104.47x = 9,946,779,261.60
  5. Step 5: Solve for x
    x = 9,946,779,261.60/137,104.47
  6. Step 6: Final answer
    x = 72,548.91

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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.