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Finding the Fourth Proportional to 232,115.39, 348,225.58 and 82,355.84

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Solution

The fourth proportional to 232,115.39, 348,225.58 and 82,355.84 is: 123,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,115.39 : 348,225.58 = 82,355.84 : x
  2. Step 2: Convert to fraction form
    232,115.39/348,225.58 = 82,355.84/x
  3. Step 3: Cross multiply
    232,115.39x = 348,225.58 × 82,355.84
  4. Step 4: Simplify right side
    232,115.39x = 28,678,409,818.05
  5. Step 5: Solve for x
    x = 28,678,409,818.05/232,115.39
  6. Step 6: Final answer
    x = 123,552.38

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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.