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Finding the Fourth Proportional to 119,642.80, 165,099.30 and 65,927.82

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Solution

The fourth proportional to 119,642.80, 165,099.30 and 65,927.82 is: 90,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642.80 : 165,099.30 = 65,927.82 : x
  2. Step 2: Convert to fraction form
    119,642.80/165,099.30 = 65,927.82/x
  3. Step 3: Cross multiply
    119,642.80x = 165,099.30 × 65,927.82
  4. Step 4: Simplify right side
    119,642.80x = 10,884,636,399.01
  5. Step 5: Solve for x
    x = 10,884,636,399.01/119,642.80
  6. Step 6: Final answer
    x = 90,976.11

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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.