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Finding the Fourth Proportional to 215,866.96, 297,898.34 and 119,074.52

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Solution

The fourth proportional to 215,866.96, 297,898.34 and 119,074.52 is: 164,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,866.96 : 297,898.34 = 119,074.52 : x
  2. Step 2: Convert to fraction form
    215,866.96/297,898.34 = 119,074.52/x
  3. Step 3: Cross multiply
    215,866.96x = 297,898.34 × 119,074.52
  4. Step 4: Simplify right side
    215,866.96x = 35,472,101,844.30
  5. Step 5: Solve for x
    x = 35,472,101,844.30/215,866.96
  6. Step 6: Final answer
    x = 164,323.91

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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.