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Finding the Fourth Proportional to 215,525.57, 297,434.50 and 120,032.26

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Solution

The fourth proportional to 215,525.57, 297,434.50 and 120,032.26 is: 165,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,525.57 : 297,434.50 = 120,032.26 : x
  2. Step 2: Convert to fraction form
    215,525.57/297,434.50 = 120,032.26/x
  3. Step 3: Cross multiply
    215,525.57x = 297,434.50 × 120,032.26
  4. Step 4: Simplify right side
    215,525.57x = 35,701,734,193.30
  5. Step 5: Solve for x
    x = 35,701,734,193.30/215,525.57
  6. Step 6: Final answer
    x = 165,649.65

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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.