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Finding the Fourth Proportional to 185,640.10, 278,460.15 and 133,540.90

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Solution

The fourth proportional to 185,640.10, 278,460.15 and 133,540.90 is: 200,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640.10 : 278,460.15 = 133,540.90 : x
  2. Step 2: Convert to fraction form
    185,640.10/278,460.15 = 133,540.90/x
  3. Step 3: Cross multiply
    185,640.10x = 278,460.15 × 133,540.90
  4. Step 4: Simplify right side
    185,640.10x = 37,185,819,045.14
  5. Step 5: Solve for x
    x = 37,185,819,045.14/185,640.10
  6. Step 6: Final answer
    x = 200,311.35

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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.