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Finding the Fourth Proportional to 224,454.33, 309,466.80 and 143,749.17

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Solution

The fourth proportional to 224,454.33, 309,466.80 and 143,749.17 is: 198,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,454.33 : 309,466.80 = 143,749.17 : x
  2. Step 2: Convert to fraction form
    224,454.33/309,466.80 = 143,749.17/x
  3. Step 3: Cross multiply
    224,454.33x = 309,466.80 × 143,749.17
  4. Step 4: Simplify right side
    224,454.33x = 44,485,595,642.56
  5. Step 5: Solve for x
    x = 44,485,595,642.56/224,454.33
  6. Step 6: Final answer
    x = 198,194.42

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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.