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Finding the Fourth Proportional to 231,367.30, 346,921.98 and 71,397.82

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Solution

The fourth proportional to 231,367.30, 346,921.98 and 71,397.82 is: 107,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,367.30 : 346,921.98 = 71,397.82 : x
  2. Step 2: Convert to fraction form
    231,367.30/346,921.98 = 71,397.82/x
  3. Step 3: Cross multiply
    231,367.30x = 346,921.98 × 71,397.82
  4. Step 4: Simplify right side
    231,367.30x = 24,769,473,082.08
  5. Step 5: Solve for x
    x = 24,769,473,082.08/231,367.30
  6. Step 6: Final answer
    x = 107,056.93

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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.