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Finding the Fourth Proportional to 272,561.10, 409,084.65 and 160,100.70

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Solution

The fourth proportional to 272,561.10, 409,084.65 and 160,100.70 is: 240,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,561.10 : 409,084.65 = 160,100.70 : x
  2. Step 2: Convert to fraction form
    272,561.10/409,084.65 = 160,100.70/x
  3. Step 3: Cross multiply
    272,561.10x = 409,084.65 × 160,100.70
  4. Step 4: Simplify right side
    272,561.10x = 65,494,738,824.26
  5. Step 5: Solve for x
    x = 65,494,738,824.26/272,561.10
  6. Step 6: Final answer
    x = 240,293.79

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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.