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Finding the Fourth Proportional to 110,165.80, 164,920.65 and 65,769.70

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Solution

The fourth proportional to 110,165.80, 164,920.65 and 65,769.70 is: 98,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,165.80 : 164,920.65 = 65,769.70 : x
  2. Step 2: Convert to fraction form
    110,165.80/164,920.65 = 65,769.70/x
  3. Step 3: Cross multiply
    110,165.80x = 164,920.65 × 65,769.70
  4. Step 4: Simplify right side
    110,165.80x = 10,846,781,674.31
  5. Step 5: Solve for x
    x = 10,846,781,674.31/110,165.80
  6. Step 6: Final answer
    x = 98,458.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.