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Finding the Fourth Proportional to 231,184.80, 346,258.80 and 189,712.80

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Solution

The fourth proportional to 231,184.80, 346,258.80 and 189,712.80 is: 284,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,184.80 : 346,258.80 = 189,712.80 : x
  2. Step 2: Convert to fraction form
    231,184.80/346,258.80 = 189,712.80/x
  3. Step 3: Cross multiply
    231,184.80x = 346,258.80 × 189,712.80
  4. Step 4: Simplify right side
    231,184.80x = 65,689,726,472.64
  5. Step 5: Solve for x
    x = 65,689,726,472.64/231,184.80
  6. Step 6: Final answer
    x = 284,143.80

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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.