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Finding the Fourth Proportional to 242,199.46, 363,391.44 and 109,049.10

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Solution

The fourth proportional to 242,199.46, 363,391.44 and 109,049.10 is: 163,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,199.46 : 363,391.44 = 109,049.10 : x
  2. Step 2: Convert to fraction form
    242,199.46/363,391.44 = 109,049.10/x
  3. Step 3: Cross multiply
    242,199.46x = 363,391.44 × 109,049.10
  4. Step 4: Simplify right side
    242,199.46x = 39,627,509,479.70
  5. Step 5: Solve for x
    x = 39,627,509,479.70/242,199.46
  6. Step 6: Final answer
    x = 163,615.19

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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.