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Finding the Fourth Proportional to 215,773.22, 297,767.74 and 117,655.74

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Solution

The fourth proportional to 215,773.22, 297,767.74 and 117,655.74 is: 162,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,773.22 : 297,767.74 = 117,655.74 : x
  2. Step 2: Convert to fraction form
    215,773.22/297,767.74 = 117,655.74/x
  3. Step 3: Cross multiply
    215,773.22x = 297,767.74 × 117,655.74
  4. Step 4: Simplify right side
    215,773.22x = 35,034,083,797.83
  5. Step 5: Solve for x
    x = 35,034,083,797.83/215,773.22
  6. Step 6: Final answer
    x = 162,365.30

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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.