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Finding the Fourth Proportional to 137,009.28, 205,557.12 and 48,259.20

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Solution

The fourth proportional to 137,009.28, 205,557.12 and 48,259.20 is: 72,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,009.28 : 205,557.12 = 48,259.20 : x
  2. Step 2: Convert to fraction form
    137,009.28/205,557.12 = 48,259.20/x
  3. Step 3: Cross multiply
    137,009.28x = 205,557.12 × 48,259.20
  4. Step 4: Simplify right side
    137,009.28x = 9,920,022,165.50
  5. Step 5: Solve for x
    x = 9,920,022,165.50/137,009.28
  6. Step 6: Final answer
    x = 72,404.02

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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.