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Finding the Fourth Proportional to 133,191.12, 199,720.62 and 48,947.88

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Solution

The fourth proportional to 133,191.12, 199,720.62 and 48,947.88 is: 73,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,191.12 : 199,720.62 = 48,947.88 : x
  2. Step 2: Convert to fraction form
    133,191.12/199,720.62 = 48,947.88/x
  3. Step 3: Cross multiply
    133,191.12x = 199,720.62 × 48,947.88
  4. Step 4: Simplify right side
    133,191.12x = 9,775,900,941.29
  5. Step 5: Solve for x
    x = 9,775,900,941.29/133,191.12
  6. Step 6: Final answer
    x = 73,397.54

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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.