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Finding the Fourth Proportional to 206,483.34, 285,002.73 and 134,861.82

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Solution

The fourth proportional to 206,483.34, 285,002.73 and 134,861.82 is: 186,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,483.34 : 285,002.73 = 134,861.82 : x
  2. Step 2: Convert to fraction form
    206,483.34/285,002.73 = 134,861.82/x
  3. Step 3: Cross multiply
    206,483.34x = 285,002.73 × 134,861.82
  4. Step 4: Simplify right side
    206,483.34x = 38,435,986,872.77
  5. Step 5: Solve for x
    x = 38,435,986,872.77/206,483.34
  6. Step 6: Final answer
    x = 186,145.70

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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.