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Finding the Fourth Proportional to 215,733.58, 297,712.67 and 120,238.22

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Solution

The fourth proportional to 215,733.58, 297,712.67 and 120,238.22 is: 165,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,733.58 : 297,712.67 = 120,238.22 : x
  2. Step 2: Convert to fraction form
    215,733.58/297,712.67 = 120,238.22/x
  3. Step 3: Cross multiply
    215,733.58x = 297,712.67 × 120,238.22
  4. Step 4: Simplify right side
    215,733.58x = 35,796,441,655.34
  5. Step 5: Solve for x
    x = 35,796,441,655.34/215,733.58
  6. Step 6: Final answer
    x = 165,928.93

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