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Finding the Fourth Proportional to 203,462.30, 305,217.95 and 98,207.25

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Solution

The fourth proportional to 203,462.30, 305,217.95 and 98,207.25 is: 147,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462.30 : 305,217.95 = 98,207.25 : x
  2. Step 2: Convert to fraction form
    203,462.30/305,217.95 = 98,207.25/x
  3. Step 3: Cross multiply
    203,462.30x = 305,217.95 × 98,207.25
  4. Step 4: Simplify right side
    203,462.30x = 29,974,615,029.10
  5. Step 5: Solve for x
    x = 29,974,615,029.10/203,462.30
  6. Step 6: Final answer
    x = 147,322.70

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