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Finding the Fourth Proportional to 119,701.50, 165,188.57 and 65,985.33

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Solution

The fourth proportional to 119,701.50, 165,188.57 and 65,985.33 is: 91,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,701.50 : 165,188.57 = 65,985.33 : x
  2. Step 2: Convert to fraction form
    119,701.50/165,188.57 = 65,985.33/x
  3. Step 3: Cross multiply
    119,701.50x = 165,188.57 × 65,985.33
  4. Step 4: Simplify right side
    119,701.50x = 10,900,022,593.21
  5. Step 5: Solve for x
    x = 10,900,022,593.21/119,701.50
  6. Step 6: Final answer
    x = 91,060.04

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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.