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Finding the Fourth Proportional to 224,644.08, 310,025.16 and 129,180.72

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Solution

The fourth proportional to 224,644.08, 310,025.16 and 129,180.72 is: 178,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,644.08 : 310,025.16 = 129,180.72 : x
  2. Step 2: Convert to fraction form
    224,644.08/310,025.16 = 129,180.72/x
  3. Step 3: Cross multiply
    224,644.08x = 310,025.16 × 129,180.72
  4. Step 4: Simplify right side
    224,644.08x = 40,049,273,386.92
  5. Step 5: Solve for x
    x = 40,049,273,386.92/224,644.08
  6. Step 6: Final answer
    x = 178,278.78

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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.