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Finding the Fourth Proportional to 220,375.30, 304,014 and 159,813.13

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Solution

The fourth proportional to 220,375.30, 304,014 and 159,813.13 is: 220,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,375.30 : 304,014 = 159,813.13 : x
  2. Step 2: Convert to fraction form
    220,375.30/304,014 = 159,813.13/x
  3. Step 3: Cross multiply
    220,375.30x = 304,014 × 159,813.13
  4. Step 4: Simplify right side
    220,375.30x = 48,585,428,903.82
  5. Step 5: Solve for x
    x = 48,585,428,903.82/220,375.30
  6. Step 6: Final answer
    x = 220,466.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.