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Finding the Fourth Proportional to 137,124.09, 205,649.28 and 48,365.91

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Solution

The fourth proportional to 137,124.09, 205,649.28 and 48,365.91 is: 72,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,124.09 : 205,649.28 = 48,365.91 : x
  2. Step 2: Convert to fraction form
    137,124.09/205,649.28 = 48,365.91/x
  3. Step 3: Cross multiply
    137,124.09x = 205,649.28 × 48,365.91
  4. Step 4: Simplify right side
    137,124.09x = 9,946,414,568.04
  5. Step 5: Solve for x
    x = 9,946,414,568.04/137,124.09
  6. Step 6: Final answer
    x = 72,535.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.