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Finding the Fourth Proportional to 203,485.95, 305,142.53 and 98,337.15

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Solution

The fourth proportional to 203,485.95, 305,142.53 and 98,337.15 is: 147,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485.95 : 305,142.53 = 98,337.15 : x
  2. Step 2: Convert to fraction form
    203,485.95/305,142.53 = 98,337.15/x
  3. Step 3: Cross multiply
    203,485.95x = 305,142.53 × 98,337.15
  4. Step 4: Simplify right side
    203,485.95x = 30,006,846,252.30
  5. Step 5: Solve for x
    x = 30,006,846,252.30/203,485.95
  6. Step 6: Final answer
    x = 147,463.97

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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.