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Finding the Fourth Proportional to 213,494.68, 319,983.07 and 156,809.17

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Solution

The fourth proportional to 213,494.68, 319,983.07 and 156,809.17 is: 235,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,494.68 : 319,983.07 = 156,809.17 : x
  2. Step 2: Convert to fraction form
    213,494.68/319,983.07 = 156,809.17/x
  3. Step 3: Cross multiply
    213,494.68x = 319,983.07 × 156,809.17
  4. Step 4: Simplify right side
    213,494.68x = 50,176,278,836.71
  5. Step 5: Solve for x
    x = 50,176,278,836.71/213,494.68
  6. Step 6: Final answer
    x = 235,023.56

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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.