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Finding the Fourth Proportional to 104,020.80, 156,031.20 and 97,459.80

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Solution

The fourth proportional to 104,020.80, 156,031.20 and 97,459.80 is: 146,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,020.80 : 156,031.20 = 97,459.80 : x
  2. Step 2: Convert to fraction form
    104,020.80/156,031.20 = 97,459.80/x
  3. Step 3: Cross multiply
    104,020.80x = 156,031.20 × 97,459.80
  4. Step 4: Simplify right side
    104,020.80x = 15,206,769,545.76
  5. Step 5: Solve for x
    x = 15,206,769,545.76/104,020.80
  6. Step 6: Final answer
    x = 146,189.70

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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.