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Finding the Fourth Proportional to 273,210.80, 409,816.20 and 167,687.60

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Solution

The fourth proportional to 273,210.80, 409,816.20 and 167,687.60 is: 251,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,210.80 : 409,816.20 = 167,687.60 : x
  2. Step 2: Convert to fraction form
    273,210.80/409,816.20 = 167,687.60/x
  3. Step 3: Cross multiply
    273,210.80x = 409,816.20 × 167,687.60
  4. Step 4: Simplify right side
    273,210.80x = 68,721,095,019.12
  5. Step 5: Solve for x
    x = 68,721,095,019.12/273,210.80
  6. Step 6: Final answer
    x = 251,531.40

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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.