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Finding the Fourth Proportional to 257,154.75, 354,874.77 and 143,977.50

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Solution

The fourth proportional to 257,154.75, 354,874.77 and 143,977.50 is: 198,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,154.75 : 354,874.77 = 143,977.50 : x
  2. Step 2: Convert to fraction form
    257,154.75/354,874.77 = 143,977.50/x
  3. Step 3: Cross multiply
    257,154.75x = 354,874.77 × 143,977.50
  4. Step 4: Simplify right side
    257,154.75x = 51,093,982,197.68
  5. Step 5: Solve for x
    x = 51,093,982,197.68/257,154.75
  6. Step 6: Final answer
    x = 198,689.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.