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Finding the Fourth Proportional to 118,863.20, 178,294.80 and 100,200.80

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Solution

The fourth proportional to 118,863.20, 178,294.80 and 100,200.80 is: 150,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,863.20 : 178,294.80 = 100,200.80 : x
  2. Step 2: Convert to fraction form
    118,863.20/178,294.80 = 100,200.80/x
  3. Step 3: Cross multiply
    118,863.20x = 178,294.80 × 100,200.80
  4. Step 4: Simplify right side
    118,863.20x = 17,865,281,595.84
  5. Step 5: Solve for x
    x = 17,865,281,595.84/118,863.20
  6. Step 6: Final answer
    x = 150,301.20

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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.