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Finding the Fourth Proportional to 234,242.21, 323,253.87 and 126,812.21

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Solution

The fourth proportional to 234,242.21, 323,253.87 and 126,812.21 is: 175,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,242.21 : 323,253.87 = 126,812.21 : x
  2. Step 2: Convert to fraction form
    234,242.21/323,253.87 = 126,812.21/x
  3. Step 3: Cross multiply
    234,242.21x = 323,253.87 × 126,812.21
  4. Step 4: Simplify right side
    234,242.21x = 40,992,537,645.75
  5. Step 5: Solve for x
    x = 40,992,537,645.75/234,242.21
  6. Step 6: Final answer
    x = 175,000.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.