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Finding the Fourth Proportional to 99,296.20, 148,929.90 and 29,168.20

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Solution

The fourth proportional to 99,296.20, 148,929.90 and 29,168.20 is: 43,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,296.20 : 148,929.90 = 29,168.20 : x
  2. Step 2: Convert to fraction form
    99,296.20/148,929.90 = 29,168.20/x
  3. Step 3: Cross multiply
    99,296.20x = 148,929.90 × 29,168.20
  4. Step 4: Simplify right side
    99,296.20x = 4,344,017,109.18
  5. Step 5: Solve for x
    x = 4,344,017,109.18/99,296.20
  6. Step 6: Final answer
    x = 43,748.07

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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.