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Finding the Fourth Proportional to 241,658.70, 362,142.45 and 177,981.90

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Solution

The fourth proportional to 241,658.70, 362,142.45 and 177,981.90 is: 266,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,658.70 : 362,142.45 = 177,981.90 : x
  2. Step 2: Convert to fraction form
    241,658.70/362,142.45 = 177,981.90/x
  3. Step 3: Cross multiply
    241,658.70x = 362,142.45 × 177,981.90
  4. Step 4: Simplify right side
    241,658.70x = 64,454,801,321.66
  5. Step 5: Solve for x
    x = 64,454,801,321.66/241,658.70
  6. Step 6: Final answer
    x = 266,718.32

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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.