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Finding the Fourth Proportional to 224,589.20, 310,034.40 and 148,153.76

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Solution

The fourth proportional to 224,589.20, 310,034.40 and 148,153.76 is: 204,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,589.20 : 310,034.40 = 148,153.76 : x
  2. Step 2: Convert to fraction form
    224,589.20/310,034.40 = 148,153.76/x
  3. Step 3: Cross multiply
    224,589.20x = 310,034.40 × 148,153.76
  4. Step 4: Simplify right side
    224,589.20x = 45,932,762,089.34
  5. Step 5: Solve for x
    x = 45,932,762,089.34/224,589.20
  6. Step 6: Final answer
    x = 204,519.02

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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.