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Finding the Fourth Proportional to 199,892.96, 275,851.63 and 109,248.90

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Solution

The fourth proportional to 199,892.96, 275,851.63 and 109,248.90 is: 150,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,892.96 : 275,851.63 = 109,248.90 : x
  2. Step 2: Convert to fraction form
    199,892.96/275,851.63 = 109,248.90/x
  3. Step 3: Cross multiply
    199,892.96x = 275,851.63 × 109,248.90
  4. Step 4: Simplify right side
    199,892.96x = 30,136,487,140.71
  5. Step 5: Solve for x
    x = 30,136,487,140.71/199,892.96
  6. Step 6: Final answer
    x = 150,763.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.