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Finding the Fourth Proportional to 155,677.94, 214,760.98 and 149,642.42

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Solution

The fourth proportional to 155,677.94, 214,760.98 and 149,642.42 is: 206,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,677.94 : 214,760.98 = 149,642.42 : x
  2. Step 2: Convert to fraction form
    155,677.94/214,760.98 = 149,642.42/x
  3. Step 3: Cross multiply
    155,677.94x = 214,760.98 × 149,642.42
  4. Step 4: Simplify right side
    155,677.94x = 32,137,351,320.86
  5. Step 5: Solve for x
    x = 32,137,351,320.86/155,677.94
  6. Step 6: Final answer
    x = 206,434.85

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