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Finding the Fourth Proportional to 206,202.48, 309,409.02 and 98,253.78

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Solution

The fourth proportional to 206,202.48, 309,409.02 and 98,253.78 is: 147,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,202.48 : 309,409.02 = 98,253.78 : x
  2. Step 2: Convert to fraction form
    206,202.48/309,409.02 = 98,253.78/x
  3. Step 3: Cross multiply
    206,202.48x = 309,409.02 × 98,253.78
  4. Step 4: Simplify right side
    206,202.48x = 30,400,605,781.10
  5. Step 5: Solve for x
    x = 30,400,605,781.10/206,202.48
  6. Step 6: Final answer
    x = 147,430.84

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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.