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Finding the Fourth Proportional to 211,806.88, 292,293.49 and 116,315.17

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Solution

The fourth proportional to 211,806.88, 292,293.49 and 116,315.17 is: 160,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,806.88 : 292,293.49 = 116,315.17 : x
  2. Step 2: Convert to fraction form
    211,806.88/292,293.49 = 116,315.17/x
  3. Step 3: Cross multiply
    211,806.88x = 292,293.49 × 116,315.17
  4. Step 4: Simplify right side
    211,806.88x = 33,998,165,517.78
  5. Step 5: Solve for x
    x = 33,998,165,517.78/211,806.88
  6. Step 6: Final answer
    x = 160,514.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.