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Finding the Fourth Proportional to 207,724.60, 311,570.70 and 81,340.30

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Solution

The fourth proportional to 207,724.60, 311,570.70 and 81,340.30 is: 122,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,724.60 : 311,570.70 = 81,340.30 : x
  2. Step 2: Convert to fraction form
    207,724.60/311,570.70 = 81,340.30/x
  3. Step 3: Cross multiply
    207,724.60x = 311,570.70 × 81,340.30
  4. Step 4: Simplify right side
    207,724.60x = 25,343,254,209.21
  5. Step 5: Solve for x
    x = 25,343,254,209.21/207,724.60
  6. Step 6: Final answer
    x = 122,004.11

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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.