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Finding the Fourth Proportional to 277,275.25, 382,641.00 and 149,950.85

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Solution

The fourth proportional to 277,275.25, 382,641.00 and 149,950.85 is: 206,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,275.25 : 382,641.00 = 149,950.85 : x
  2. Step 2: Convert to fraction form
    277,275.25/382,641.00 = 149,950.85/x
  3. Step 3: Cross multiply
    277,275.25x = 382,641.00 × 149,950.85
  4. Step 4: Simplify right side
    277,275.25x = 57,377,341,994.24
  5. Step 5: Solve for x
    x = 57,377,341,994.24/277,275.25
  6. Step 6: Final answer
    x = 206,932.79

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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.