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Finding the Fourth Proportional to 99,204.56, 148,803.72 and 24,324.92

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Solution

The fourth proportional to 99,204.56, 148,803.72 and 24,324.92 is: 36,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,204.56 : 148,803.72 = 24,324.92 : x
  2. Step 2: Convert to fraction form
    99,204.56/148,803.72 = 24,324.92/x
  3. Step 3: Cross multiply
    99,204.56x = 148,803.72 × 24,324.92
  4. Step 4: Simplify right side
    99,204.56x = 3,619,638,584.70
  5. Step 5: Solve for x
    x = 3,619,638,584.70/99,204.56
  6. Step 6: Final answer
    x = 36,486.61

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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.