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Finding the Fourth Proportional to 232,753.96, 321,186.18 and 137,264.68

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Solution

The fourth proportional to 232,753.96, 321,186.18 and 137,264.68 is: 189,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,753.96 : 321,186.18 = 137,264.68 : x
  2. Step 2: Convert to fraction form
    232,753.96/321,186.18 = 137,264.68/x
  3. Step 3: Cross multiply
    232,753.96x = 321,186.18 × 137,264.68
  4. Step 4: Simplify right side
    232,753.96x = 44,087,518,218.12
  5. Step 5: Solve for x
    x = 44,087,518,218.12/232,753.96
  6. Step 6: Final answer
    x = 189,416.83

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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.