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Finding the Fourth Proportional to 232,267.50, 348,435.88 and 82,495.24

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Solution

The fourth proportional to 232,267.50, 348,435.88 and 82,495.24 is: 123,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,267.50 : 348,435.88 = 82,495.24 : x
  2. Step 2: Convert to fraction form
    232,267.50/348,435.88 = 82,495.24/x
  3. Step 3: Cross multiply
    232,267.50x = 348,435.88 × 82,495.24
  4. Step 4: Simplify right side
    232,267.50x = 28,744,301,545.21
  5. Step 5: Solve for x
    x = 28,744,301,545.21/232,267.50
  6. Step 6: Final answer
    x = 123,755.16

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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.