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Finding the Fourth Proportional to 211,687.92, 317,366.16 and 144,926.16

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Solution

The fourth proportional to 211,687.92, 317,366.16 and 144,926.16 is: 217,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,687.92 : 317,366.16 = 144,926.16 : x
  2. Step 2: Convert to fraction form
    211,687.92/317,366.16 = 144,926.16/x
  3. Step 3: Cross multiply
    211,687.92x = 317,366.16 × 144,926.16
  4. Step 4: Simplify right side
    211,687.92x = 45,994,658,882.75
  5. Step 5: Solve for x
    x = 45,994,658,882.75/211,687.92
  6. Step 6: Final answer
    x = 217,275.78

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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.