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Finding the Fourth Proportional to 215,640, 297,588.96 and 120,150.72

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Solution

The fourth proportional to 215,640, 297,588.96 and 120,150.72 is: 165,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,640 : 297,588.96 = 120,150.72 : x
  2. Step 2: Convert to fraction form
    215,640/297,588.96 = 120,150.72/x
  3. Step 3: Cross multiply
    215,640x = 297,588.96 × 120,150.72
  4. Step 4: Simplify right side
    215,640x = 35,755,527,808.05
  5. Step 5: Solve for x
    x = 35,755,527,808.05/215,640
  6. Step 6: Final answer
    x = 165,811.20

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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.