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Finding the Fourth Proportional to 216,123.48, 323,963.46 and 82,967.88

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Solution

The fourth proportional to 216,123.48, 323,963.46 and 82,967.88 is: 124,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,123.48 : 323,963.46 = 82,967.88 : x
  2. Step 2: Convert to fraction form
    216,123.48/323,963.46 = 82,967.88/x
  3. Step 3: Cross multiply
    216,123.48x = 323,963.46 × 82,967.88
  4. Step 4: Simplify right side
    216,123.48x = 26,878,561,473.66
  5. Step 5: Solve for x
    x = 26,878,561,473.66/216,123.48
  6. Step 6: Final answer
    x = 124,366.69

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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.