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Finding the Fourth Proportional to 201,890.30, 302,447.34 and 112,873.84

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Solution

The fourth proportional to 201,890.30, 302,447.34 and 112,873.84 is: 169,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,890.30 : 302,447.34 = 112,873.84 : x
  2. Step 2: Convert to fraction form
    201,890.30/302,447.34 = 112,873.84/x
  3. Step 3: Cross multiply
    201,890.30x = 302,447.34 × 112,873.84
  4. Step 4: Simplify right side
    201,890.30x = 34,138,392,663.59
  5. Step 5: Solve for x
    x = 34,138,392,663.59/201,890.30
  6. Step 6: Final answer
    x = 169,093.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.