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Finding the Fourth Proportional to 232,253.28, 348,296.38 and 80,409.13

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Solution

The fourth proportional to 232,253.28, 348,296.38 and 80,409.13 is: 120,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,253.28 : 348,296.38 = 80,409.13 : x
  2. Step 2: Convert to fraction form
    232,253.28/348,296.38 = 80,409.13/x
  3. Step 3: Cross multiply
    232,253.28x = 348,296.38 × 80,409.13
  4. Step 4: Simplify right side
    232,253.28x = 28,006,208,897.95
  5. Step 5: Solve for x
    x = 28,006,208,897.95/232,253.28
  6. Step 6: Final answer
    x = 120,584.77

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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.