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Finding the Fourth Proportional to 121,855.74, 167,787.09 and 106,663.38

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Solution

The fourth proportional to 121,855.74, 167,787.09 and 106,663.38 is: 146,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,855.74 : 167,787.09 = 106,663.38 : x
  2. Step 2: Convert to fraction form
    121,855.74/167,787.09 = 106,663.38/x
  3. Step 3: Cross multiply
    121,855.74x = 167,787.09 × 106,663.38
  4. Step 4: Simplify right side
    121,855.74x = 17,896,738,139.76
  5. Step 5: Solve for x
    x = 17,896,738,139.76/121,855.74
  6. Step 6: Final answer
    x = 146,868.24

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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.