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Finding the Fourth Proportional to 97,952.80, 146,929.20 and 80,672.80

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Solution

The fourth proportional to 97,952.80, 146,929.20 and 80,672.80 is: 121,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,952.80 : 146,929.20 = 80,672.80 : x
  2. Step 2: Convert to fraction form
    97,952.80/146,929.20 = 80,672.80/x
  3. Step 3: Cross multiply
    97,952.80x = 146,929.20 × 80,672.80
  4. Step 4: Simplify right side
    97,952.80x = 11,853,189,965.76
  5. Step 5: Solve for x
    x = 11,853,189,965.76/97,952.80
  6. Step 6: Final answer
    x = 121,009.20

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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.