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Finding the Fourth Proportional to 200,222.88, 300,422.32 and 75,534.72

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Solution

The fourth proportional to 200,222.88, 300,422.32 and 75,534.72 is: 113,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,222.88 : 300,422.32 = 75,534.72 : x
  2. Step 2: Convert to fraction form
    200,222.88/300,422.32 = 75,534.72/x
  3. Step 3: Cross multiply
    200,222.88x = 300,422.32 × 75,534.72
  4. Step 4: Simplify right side
    200,222.88x = 22,692,315,822.95
  5. Step 5: Solve for x
    x = 22,692,315,822.95/200,222.88
  6. Step 6: Final answer
    x = 113,335.28

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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.