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Finding the Fourth Proportional to 207,271.30, 310,906.96 and 165,799.30

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Solution

The fourth proportional to 207,271.30, 310,906.96 and 165,799.30 is: 248,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,271.30 : 310,906.96 = 165,799.30 : x
  2. Step 2: Convert to fraction form
    207,271.30/310,906.96 = 165,799.30/x
  3. Step 3: Cross multiply
    207,271.30x = 310,906.96 × 165,799.30
  4. Step 4: Simplify right side
    207,271.30x = 51,548,156,333.13
  5. Step 5: Solve for x
    x = 51,548,156,333.13/207,271.30
  6. Step 6: Final answer
    x = 248,698.96

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1.5x scale

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.