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Finding the Fourth Proportional to 137,210.20, 189,340.92 and 75,952.24

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Solution

The fourth proportional to 137,210.20, 189,340.92 and 75,952.24 is: 104,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210.20 : 189,340.92 = 75,952.24 : x
  2. Step 2: Convert to fraction form
    137,210.20/189,340.92 = 75,952.24/x
  3. Step 3: Cross multiply
    137,210.20x = 189,340.92 × 75,952.24
  4. Step 4: Simplify right side
    137,210.20x = 14,380,866,997.66
  5. Step 5: Solve for x
    x = 14,380,866,997.66/137,210.20
  6. Step 6: Final answer
    x = 104,809.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.