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Finding the Fourth Proportional to 150,523.20, 225,874.40 and 57,038.40

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Solution

The fourth proportional to 150,523.20, 225,874.40 and 57,038.40 is: 85,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,523.20 : 225,874.40 = 57,038.40 : x
  2. Step 2: Convert to fraction form
    150,523.20/225,874.40 = 57,038.40/x
  3. Step 3: Cross multiply
    150,523.20x = 225,874.40 × 57,038.40
  4. Step 4: Simplify right side
    150,523.20x = 12,883,514,376.96
  5. Step 5: Solve for x
    x = 12,883,514,376.96/150,523.20
  6. Step 6: Final answer
    x = 85,591.55

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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.