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Finding the Fourth Proportional to 211,266.26, 316,686.03 and 132,435.74

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Solution

The fourth proportional to 211,266.26, 316,686.03 and 132,435.74 is: 198,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266.26 : 316,686.03 = 132,435.74 : x
  2. Step 2: Convert to fraction form
    211,266.26/316,686.03 = 132,435.74/x
  3. Step 3: Cross multiply
    211,266.26x = 316,686.03 × 132,435.74
  4. Step 4: Simplify right side
    211,266.26x = 41,940,548,730.71
  5. Step 5: Solve for x
    x = 41,940,548,730.71/211,266.26
  6. Step 6: Final answer
    x = 198,519.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.