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Finding the Fourth Proportional to 231,223.84, 346,472.88 and 137,678.56

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Solution

The fourth proportional to 231,223.84, 346,472.88 and 137,678.56 is: 206,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,223.84 : 346,472.88 = 137,678.56 : x
  2. Step 2: Convert to fraction form
    231,223.84/346,472.88 = 137,678.56/x
  3. Step 3: Cross multiply
    231,223.84x = 346,472.88 × 137,678.56
  4. Step 4: Simplify right side
    231,223.84x = 47,701,887,197.45
  5. Step 5: Solve for x
    x = 47,701,887,197.45/231,223.84
  6. Step 6: Final answer
    x = 206,301.77

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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.