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Finding the Fourth Proportional to 211,282.56, 316,710.54 and 132,452.15

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Solution

The fourth proportional to 211,282.56, 316,710.54 and 132,452.15 is: 198,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,282.56 : 316,710.54 = 132,452.15 : x
  2. Step 2: Convert to fraction form
    211,282.56/316,710.54 = 132,452.15/x
  3. Step 3: Cross multiply
    211,282.56x = 316,710.54 × 132,452.15
  4. Step 4: Simplify right side
    211,282.56x = 41,948,990,367.11
  5. Step 5: Solve for x
    x = 41,948,990,367.11/211,282.56
  6. Step 6: Final answer
    x = 198,544.50

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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.