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Finding the Fourth Proportional to 153,793.10, 230,723.82 and 47,191.88

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Solution

The fourth proportional to 153,793.10, 230,723.82 and 47,191.88 is: 70,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,793.10 : 230,723.82 = 47,191.88 : x
  2. Step 2: Convert to fraction form
    153,793.10/230,723.82 = 47,191.88/x
  3. Step 3: Cross multiply
    153,793.10x = 230,723.82 × 47,191.88
  4. Step 4: Simplify right side
    153,793.10x = 10,888,289,672.96
  5. Step 5: Solve for x
    x = 10,888,289,672.96/153,793.10
  6. Step 6: Final answer
    x = 70,798.30

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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.