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Finding the Fourth Proportional to 202,029.98, 278,511.57 and 158,934.56

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Solution

The fourth proportional to 202,029.98, 278,511.57 and 158,934.56 is: 219,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,029.98 : 278,511.57 = 158,934.56 : x
  2. Step 2: Convert to fraction form
    202,029.98/278,511.57 = 158,934.56/x
  3. Step 3: Cross multiply
    202,029.98x = 278,511.57 × 158,934.56
  4. Step 4: Simplify right side
    202,029.98x = 44,265,113,832.86
  5. Step 5: Solve for x
    x = 44,265,113,832.86/202,029.98
  6. Step 6: Final answer
    x = 219,101.71

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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.