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Finding the Fourth Proportional to 119,707.69, 165,197.73 and 65,994.64

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Solution

The fourth proportional to 119,707.69, 165,197.73 and 65,994.64 is: 91,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,707.69 : 165,197.73 = 65,994.64 : x
  2. Step 2: Convert to fraction form
    119,707.69/165,197.73 = 65,994.64/x
  3. Step 3: Cross multiply
    119,707.69x = 165,197.73 × 65,994.64
  4. Step 4: Simplify right side
    119,707.69x = 10,902,163,894.18
  5. Step 5: Solve for x
    x = 10,902,163,894.18/119,707.69
  6. Step 6: Final answer
    x = 91,073.21

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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.