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Finding the Fourth Proportional to 230,026.24, 317,432.96 and 129,424

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Solution

The fourth proportional to 230,026.24, 317,432.96 and 129,424 is: 178,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,026.24 : 317,432.96 = 129,424 : x
  2. Step 2: Convert to fraction form
    230,026.24/317,432.96 = 129,424/x
  3. Step 3: Cross multiply
    230,026.24x = 317,432.96 × 129,424
  4. Step 4: Simplify right side
    230,026.24x = 41,083,443,415.04
  5. Step 5: Solve for x
    x = 41,083,443,415.04/230,026.24
  6. Step 6: Final answer
    x = 178,603.29

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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.