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Finding the Fourth Proportional to 99,294.42, 149,047.74 and 40,168.74

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Solution

The fourth proportional to 99,294.42, 149,047.74 and 40,168.74 is: 60,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,294.42 : 149,047.74 = 40,168.74 : x
  2. Step 2: Convert to fraction form
    99,294.42/149,047.74 = 40,168.74/x
  3. Step 3: Cross multiply
    99,294.42x = 149,047.74 × 40,168.74
  4. Step 4: Simplify right side
    99,294.42x = 5,987,059,915.65
  5. Step 5: Solve for x
    x = 5,987,059,915.65/99,294.42
  6. Step 6: Final answer
    x = 60,296.04

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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.