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Finding the Fourth Proportional to 215,761.32, 297,746.37 and 120,262.32

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Solution

The fourth proportional to 215,761.32, 297,746.37 and 120,262.32 is: 165,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,761.32 : 297,746.37 = 120,262.32 : x
  2. Step 2: Convert to fraction form
    215,761.32/297,746.37 = 120,262.32/x
  3. Step 3: Cross multiply
    215,761.32x = 297,746.37 × 120,262.32
  4. Step 4: Simplify right side
    215,761.32x = 35,807,669,227.78
  5. Step 5: Solve for x
    x = 35,807,669,227.78/215,761.32
  6. Step 6: Final answer
    x = 165,959.63

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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.