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Finding the Fourth Proportional to 133,044.30, 199,297.65 and 82,970.70

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Solution

The fourth proportional to 133,044.30, 199,297.65 and 82,970.70 is: 124,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044.30 : 199,297.65 = 82,970.70 : x
  2. Step 2: Convert to fraction form
    133,044.30/199,297.65 = 82,970.70/x
  3. Step 3: Cross multiply
    133,044.30x = 199,297.65 × 82,970.70
  4. Step 4: Simplify right side
    133,044.30x = 16,535,865,528.86
  5. Step 5: Solve for x
    x = 16,535,865,528.86/133,044.30
  6. Step 6: Final answer
    x = 124,288.42

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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.