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Finding the Fourth Proportional to 242,627.34, 363,975.02 and 84,819.90

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Solution

The fourth proportional to 242,627.34, 363,975.02 and 84,819.90 is: 127,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,627.34 : 363,975.02 = 84,819.90 : x
  2. Step 2: Convert to fraction form
    242,627.34/363,975.02 = 84,819.90/x
  3. Step 3: Cross multiply
    242,627.34x = 363,975.02 × 84,819.90
  4. Step 4: Simplify right side
    242,627.34x = 30,872,324,798.90
  5. Step 5: Solve for x
    x = 30,872,324,798.90/242,627.34
  6. Step 6: Final answer
    x = 127,241.74

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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.