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Finding the Fourth Proportional to 200,769.46, 300,752.65 and 120,763.24

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Solution

The fourth proportional to 200,769.46, 300,752.65 and 120,763.24 is: 180,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.46 : 300,752.65 = 120,763.24 : x
  2. Step 2: Convert to fraction form
    200,769.46/300,752.65 = 120,763.24/x
  3. Step 3: Cross multiply
    200,769.46x = 300,752.65 × 120,763.24
  4. Step 4: Simplify right side
    200,769.46x = 36,319,864,452.59
  5. Step 5: Solve for x
    x = 36,319,864,452.59/200,769.46
  6. Step 6: Final answer
    x = 180,903.33

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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.