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Finding the Fourth Proportional to 206,812.44, 285,401.32 and 116,168.44

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Solution

The fourth proportional to 206,812.44, 285,401.32 and 116,168.44 is: 160,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.44 : 285,401.32 = 116,168.44 : x
  2. Step 2: Convert to fraction form
    206,812.44/285,401.32 = 116,168.44/x
  3. Step 3: Cross multiply
    206,812.44x = 285,401.32 × 116,168.44
  4. Step 4: Simplify right side
    206,812.44x = 33,154,626,118.34
  5. Step 5: Solve for x
    x = 33,154,626,118.34/206,812.44
  6. Step 6: Final answer
    x = 160,312.53

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1.5x scale

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.