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Finding the Fourth Proportional to 167,141.31, 230,658.13 and 102,578.19

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Solution

The fourth proportional to 167,141.31, 230,658.13 and 102,578.19 is: 141,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,141.31 : 230,658.13 = 102,578.19 : x
  2. Step 2: Convert to fraction form
    167,141.31/230,658.13 = 102,578.19/x
  3. Step 3: Cross multiply
    167,141.31x = 230,658.13 × 102,578.19
  4. Step 4: Simplify right side
    167,141.31x = 23,660,493,484.18
  5. Step 5: Solve for x
    x = 23,660,493,484.18/167,141.31
  6. Step 6: Final answer
    x = 141,559.82

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1.5x scale

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.