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Finding the Fourth Proportional to 207,246.30, 310,351.04 and 165,774.30

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Solution

The fourth proportional to 207,246.30, 310,351.04 and 165,774.30 is: 248,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,246.30 : 310,351.04 = 165,774.30 : x
  2. Step 2: Convert to fraction form
    207,246.30/310,351.04 = 165,774.30/x
  3. Step 3: Cross multiply
    207,246.30x = 310,351.04 × 165,774.30
  4. Step 4: Simplify right side
    207,246.30x = 51,448,226,410.27
  5. Step 5: Solve for x
    x = 51,448,226,410.27/207,246.30
  6. Step 6: Final answer
    x = 248,246.78

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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.