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Finding the Fourth Proportional to 212,489.64, 318,616.50 and 98,512.92

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Solution

The fourth proportional to 212,489.64, 318,616.50 and 98,512.92 is: 147,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,489.64 : 318,616.50 = 98,512.92 : x
  2. Step 2: Convert to fraction form
    212,489.64/318,616.50 = 98,512.92/x
  3. Step 3: Cross multiply
    212,489.64x = 318,616.50 × 98,512.92
  4. Step 4: Simplify right side
    212,489.64x = 31,387,841,775.18
  5. Step 5: Solve for x
    x = 31,387,841,775.18/212,489.64
  6. Step 6: Final answer
    x = 147,714.69

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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.