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Finding the Fourth Proportional to 215,372.82, 297,214.50 and 119,877.46

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Solution

The fourth proportional to 215,372.82, 297,214.50 and 119,877.46 is: 165,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,372.82 : 297,214.50 = 119,877.46 : x
  2. Step 2: Convert to fraction form
    215,372.82/297,214.50 = 119,877.46/x
  3. Step 3: Cross multiply
    215,372.82x = 297,214.50 × 119,877.46
  4. Step 4: Simplify right side
    215,372.82x = 35,629,319,335.17
  5. Step 5: Solve for x
    x = 35,629,319,335.17/215,372.82
  6. Step 6: Final answer
    x = 165,430.90

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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.