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Finding the Fourth Proportional to 119,701.86, 165,196.59 and 65,986.89

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Solution

The fourth proportional to 119,701.86, 165,196.59 and 65,986.89 is: 91,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,701.86 : 165,196.59 = 65,986.89 : x
  2. Step 2: Convert to fraction form
    119,701.86/165,196.59 = 65,986.89/x
  3. Step 3: Cross multiply
    119,701.86x = 165,196.59 × 65,986.89
  4. Step 4: Simplify right side
    119,701.86x = 10,900,809,212.71
  5. Step 5: Solve for x
    x = 10,900,809,212.71/119,701.86
  6. Step 6: Final answer
    x = 91,066.33

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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.