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Finding the Fourth Proportional to 210,098.82, 289,932.94 and 119,452.83

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Solution

The fourth proportional to 210,098.82, 289,932.94 and 119,452.83 is: 164,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.82 : 289,932.94 = 119,452.83 : x
  2. Step 2: Convert to fraction form
    210,098.82/289,932.94 = 119,452.83/x
  3. Step 3: Cross multiply
    210,098.82x = 289,932.94 × 119,452.83
  4. Step 4: Simplify right side
    210,098.82x = 34,633,312,037.56
  5. Step 5: Solve for x
    x = 34,633,312,037.56/210,098.82
  6. Step 6: Final answer
    x = 164,842.96

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1.5x scale

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.