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Finding the Fourth Proportional to 167,444.64, 231,081.62 and 102,916.68

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Solution

The fourth proportional to 167,444.64, 231,081.62 and 102,916.68 is: 142,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,444.64 : 231,081.62 = 102,916.68 : x
  2. Step 2: Convert to fraction form
    167,444.64/231,081.62 = 102,916.68/x
  3. Step 3: Cross multiply
    167,444.64x = 231,081.62 × 102,916.68
  4. Step 4: Simplify right side
    167,444.64x = 23,782,153,139.42
  5. Step 5: Solve for x
    x = 23,782,153,139.42/167,444.64
  6. Step 6: Final answer
    x = 142,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.