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Finding the Fourth Proportional to 98,190.96, 147,304.80 and 53,793.24

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Solution

The fourth proportional to 98,190.96, 147,304.80 and 53,793.24 is: 80,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190.96 : 147,304.80 = 53,793.24 : x
  2. Step 2: Convert to fraction form
    98,190.96/147,304.80 = 53,793.24/x
  3. Step 3: Cross multiply
    98,190.96x = 147,304.80 × 53,793.24
  4. Step 4: Simplify right side
    98,190.96x = 7,924,002,459.55
  5. Step 5: Solve for x
    x = 7,924,002,459.55/98,190.96
  6. Step 6: Final answer
    x = 80,699.92

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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.