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Finding the Fourth Proportional to 277,752.96, 416,543.49 and 100,237.50

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Solution

The fourth proportional to 277,752.96, 416,543.49 and 100,237.50 is: 150,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,752.96 : 416,543.49 = 100,237.50 : x
  2. Step 2: Convert to fraction form
    277,752.96/416,543.49 = 100,237.50/x
  3. Step 3: Cross multiply
    277,752.96x = 416,543.49 × 100,237.50
  4. Step 4: Simplify right side
    277,752.96x = 41,753,278,078.88
  5. Step 5: Solve for x
    x = 41,753,278,078.88/277,752.96
  6. Step 6: Final answer
    x = 150,325.23

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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.