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Finding the Fourth Proportional to 203,463.20, 305,108.40 and 98,314.40

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Solution

The fourth proportional to 203,463.20, 305,108.40 and 98,314.40 is: 147,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.20 : 305,108.40 = 98,314.40 : x
  2. Step 2: Convert to fraction form
    203,463.20/305,108.40 = 98,314.40/x
  3. Step 3: Cross multiply
    203,463.20x = 305,108.40 × 98,314.40
  4. Step 4: Simplify right side
    203,463.20x = 29,996,549,280.96
  5. Step 5: Solve for x
    x = 29,996,549,280.96/203,463.20
  6. Step 6: Final answer
    x = 147,429.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.