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Finding the Fourth Proportional to 313,951.65, 471,036.83 and 136,585.95

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Solution

The fourth proportional to 313,951.65, 471,036.83 and 136,585.95 is: 204,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.65 : 471,036.83 = 136,585.95 : x
  2. Step 2: Convert to fraction form
    313,951.65/471,036.83 = 136,585.95/x
  3. Step 3: Cross multiply
    313,951.65x = 471,036.83 × 136,585.95
  4. Step 4: Simplify right side
    313,951.65x = 64,337,012,227.61
  5. Step 5: Solve for x
    x = 64,337,012,227.61/313,951.65
  6. Step 6: Final answer
    x = 204,926.50

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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.