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Finding the Fourth Proportional to 274,482.42, 411,438.17 and 106,118.38

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Solution

The fourth proportional to 274,482.42, 411,438.17 and 106,118.38 is: 159,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,482.42 : 411,438.17 = 106,118.38 : x
  2. Step 2: Convert to fraction form
    274,482.42/411,438.17 = 106,118.38/x
  3. Step 3: Cross multiply
    274,482.42x = 411,438.17 × 106,118.38
  4. Step 4: Simplify right side
    274,482.42x = 43,661,152,070.56
  5. Step 5: Solve for x
    x = 43,661,152,070.56/274,482.42
  6. Step 6: Final answer
    x = 159,067.21

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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.