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Finding the Fourth Proportional to 99,225.20, 148,823.40 and 29,097.20

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Solution

The fourth proportional to 99,225.20, 148,823.40 and 29,097.20 is: 43,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,225.20 : 148,823.40 = 29,097.20 : x
  2. Step 2: Convert to fraction form
    99,225.20/148,823.40 = 29,097.20/x
  3. Step 3: Cross multiply
    99,225.20x = 148,823.40 × 29,097.20
  4. Step 4: Simplify right side
    99,225.20x = 4,330,344,234.48
  5. Step 5: Solve for x
    x = 4,330,344,234.48/99,225.20
  6. Step 6: Final answer
    x = 43,641.58

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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.