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Finding the Fourth Proportional to 232,194.68, 320,432.28 and 130,242.78

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Solution

The fourth proportional to 232,194.68, 320,432.28 and 130,242.78 is: 179,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,194.68 : 320,432.28 = 130,242.78 : x
  2. Step 2: Convert to fraction form
    232,194.68/320,432.28 = 130,242.78/x
  3. Step 3: Cross multiply
    232,194.68x = 320,432.28 × 130,242.78
  4. Step 4: Simplify right side
    232,194.68x = 41,733,990,948.94
  5. Step 5: Solve for x
    x = 41,733,990,948.94/232,194.68
  6. Step 6: Final answer
    x = 179,737.07

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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.