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Finding the Fourth Proportional to 209,663.68, 314,204.57 and 95,532.57

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Solution

The fourth proportional to 209,663.68, 314,204.57 and 95,532.57 is: 143,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,663.68 : 314,204.57 = 95,532.57 : x
  2. Step 2: Convert to fraction form
    209,663.68/314,204.57 = 95,532.57/x
  3. Step 3: Cross multiply
    209,663.68x = 314,204.57 × 95,532.57
  4. Step 4: Simplify right side
    209,663.68x = 30,016,770,385.69
  5. Step 5: Solve for x
    x = 30,016,770,385.69/209,663.68
  6. Step 6: Final answer
    x = 143,166.28

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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.