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Finding the Fourth Proportional to 152,380.80, 228,052.80 and 133,718.40

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Solution

The fourth proportional to 152,380.80, 228,052.80 and 133,718.40 is: 200,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,380.80 : 228,052.80 = 133,718.40 : x
  2. Step 2: Convert to fraction form
    152,380.80/228,052.80 = 133,718.40/x
  3. Step 3: Cross multiply
    152,380.80x = 228,052.80 × 133,718.40
  4. Step 4: Simplify right side
    152,380.80x = 30,494,855,531.52
  5. Step 5: Solve for x
    x = 30,494,855,531.52/152,380.80
  6. Step 6: Final answer
    x = 200,122.69

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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.