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Finding the Fourth Proportional to 99,262.80, 148,913.40 and 29,144.40

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Solution

The fourth proportional to 99,262.80, 148,913.40 and 29,144.40 is: 43,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,262.80 : 148,913.40 = 29,144.40 : x
  2. Step 2: Convert to fraction form
    99,262.80/148,913.40 = 29,144.40/x
  3. Step 3: Cross multiply
    99,262.80x = 148,913.40 × 29,144.40
  4. Step 4: Simplify right side
    99,262.80x = 4,339,991,694.96
  5. Step 5: Solve for x
    x = 4,339,991,694.96/99,262.80
  6. Step 6: Final answer
    x = 43,722.24

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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.