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Finding the Fourth Proportional to 119,650.94, 165,119.38 and 65,937.88

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Solution

The fourth proportional to 119,650.94, 165,119.38 and 65,937.88 is: 90,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,650.94 : 165,119.38 = 65,937.88 : x
  2. Step 2: Convert to fraction form
    119,650.94/165,119.38 = 65,937.88/x
  3. Step 3: Cross multiply
    119,650.94x = 165,119.38 × 65,937.88
  4. Step 4: Simplify right side
    119,650.94x = 10,887,621,864.11
  5. Step 5: Solve for x
    x = 10,887,621,864.11/119,650.94
  6. Step 6: Final answer
    x = 90,994.87

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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.