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Finding the Fourth Proportional to 119,684.64, 165,151.76 and 65,959.31

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Solution

The fourth proportional to 119,684.64, 165,151.76 and 65,959.31 is: 91,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,684.64 : 165,151.76 = 65,959.31 : x
  2. Step 2: Convert to fraction form
    119,684.64/165,151.76 = 65,959.31/x
  3. Step 3: Cross multiply
    119,684.64x = 165,151.76 × 65,959.31
  4. Step 4: Simplify right side
    119,684.64x = 10,893,296,588.99
  5. Step 5: Solve for x
    x = 10,893,296,588.99/119,684.64
  6. Step 6: Final answer
    x = 91,016.66

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Why These Related Problems?

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