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Finding the Fourth Proportional to 137,029.68, 205,486.56 and 48,261.60

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Solution

The fourth proportional to 137,029.68, 205,486.56 and 48,261.60 is: 72,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,029.68 : 205,486.56 = 48,261.60 : x
  2. Step 2: Convert to fraction form
    137,029.68/205,486.56 = 48,261.60/x
  3. Step 3: Cross multiply
    137,029.68x = 205,486.56 × 48,261.60
  4. Step 4: Simplify right side
    137,029.68x = 9,917,110,164.10
  5. Step 5: Solve for x
    x = 9,917,110,164.10/137,029.68
  6. Step 6: Final answer
    x = 72,371.99

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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.