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Finding the Fourth Proportional to 231,401.92, 346,706.64 and 126,294.64

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Solution

The fourth proportional to 231,401.92, 346,706.64 and 126,294.64 is: 189,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,401.92 : 346,706.64 = 126,294.64 : x
  2. Step 2: Convert to fraction form
    231,401.92/346,706.64 = 126,294.64/x
  3. Step 3: Cross multiply
    231,401.92x = 346,706.64 × 126,294.64
  4. Step 4: Simplify right side
    231,401.92x = 43,787,190,284.41
  5. Step 5: Solve for x
    x = 43,787,190,284.41/231,401.92
  6. Step 6: Final answer
    x = 189,225.70

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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.