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Finding the Fourth Proportional to 207,296.80, 310,945.20 and 165,824.80

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Solution

The fourth proportional to 207,296.80, 310,945.20 and 165,824.80 is: 248,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,296.80 : 310,945.20 = 165,824.80 : x
  2. Step 2: Convert to fraction form
    207,296.80/310,945.20 = 165,824.80/x
  3. Step 3: Cross multiply
    207,296.80x = 310,945.20 × 165,824.80
  4. Step 4: Simplify right side
    207,296.80x = 51,562,425,600.96
  5. Step 5: Solve for x
    x = 51,562,425,600.96/207,296.80
  6. Step 6: Final answer
    x = 248,737.20

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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.