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Finding the Fourth Proportional to 211,524.73, 317,145.12 and 83,323.78

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Solution

The fourth proportional to 211,524.73, 317,145.12 and 83,323.78 is: 124,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524.73 : 317,145.12 = 83,323.78 : x
  2. Step 2: Convert to fraction form
    211,524.73/317,145.12 = 83,323.78/x
  3. Step 3: Cross multiply
    211,524.73x = 317,145.12 × 83,323.78
  4. Step 4: Simplify right side
    211,524.73x = 26,425,730,206.95
  5. Step 5: Solve for x
    x = 26,425,730,206.95/211,524.73
  6. Step 6: Final answer
    x = 124,929.74

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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.