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Finding the Fourth Proportional to 211,132.64, 316,715.52 and 61,375.16

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Solution

The fourth proportional to 211,132.64, 316,715.52 and 61,375.16 is: 92,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,132.64 : 316,715.52 = 61,375.16 : x
  2. Step 2: Convert to fraction form
    211,132.64/316,715.52 = 61,375.16/x
  3. Step 3: Cross multiply
    211,132.64x = 316,715.52 × 61,375.16
  4. Step 4: Simplify right side
    211,132.64x = 19,438,465,714.48
  5. Step 5: Solve for x
    x = 19,438,465,714.48/211,132.64
  6. Step 6: Final answer
    x = 92,067.55

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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.