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Finding the Fourth Proportional to 215,536.42, 297,428.97 and 120,041.38

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Solution

The fourth proportional to 215,536.42, 297,428.97 and 120,041.38 is: 165,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,536.42 : 297,428.97 = 120,041.38 : x
  2. Step 2: Convert to fraction form
    215,536.42/297,428.97 = 120,041.38/x
  3. Step 3: Cross multiply
    215,536.42x = 297,428.97 × 120,041.38
  4. Step 4: Simplify right side
    215,536.42x = 35,703,784,010.78
  5. Step 5: Solve for x
    x = 35,703,784,010.78/215,536.42
  6. Step 6: Final answer
    x = 165,650.82

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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.