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Finding the Fourth Proportional to 200,769.35, 300,752.49 and 120,763.13

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Solution

The fourth proportional to 200,769.35, 300,752.49 and 120,763.13 is: 180,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.35 : 300,752.49 = 120,763.13 : x
  2. Step 2: Convert to fraction form
    200,769.35/300,752.49 = 120,763.13/x
  3. Step 3: Cross multiply
    200,769.35x = 300,752.49 × 120,763.13
  4. Step 4: Simplify right side
    200,769.35x = 36,319,810,543.93
  5. Step 5: Solve for x
    x = 36,319,810,543.93/200,769.35
  6. Step 6: Final answer
    x = 180,903.17

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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.