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Finding the Fourth Proportional to 201,714.32, 302,484.00 and 68,558.83

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Solution

The fourth proportional to 201,714.32, 302,484.00 and 68,558.83 is: 102,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.32 : 302,484.00 = 68,558.83 : x
  2. Step 2: Convert to fraction form
    201,714.32/302,484.00 = 68,558.83/x
  3. Step 3: Cross multiply
    201,714.32x = 302,484.00 × 68,558.83
  4. Step 4: Simplify right side
    201,714.32x = 20,737,948,634.61
  5. Step 5: Solve for x
    x = 20,737,948,634.61/201,714.32
  6. Step 6: Final answer
    x = 102,808.51

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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.