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Finding the Fourth Proportional to 206,801.40, 285,384.16 and 116,158.76

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Solution

The fourth proportional to 206,801.40, 285,384.16 and 116,158.76 is: 160,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.40 : 285,384.16 = 116,158.76 : x
  2. Step 2: Convert to fraction form
    206,801.40/285,384.16 = 116,158.76/x
  3. Step 3: Cross multiply
    206,801.40x = 285,384.16 × 116,158.76
  4. Step 4: Simplify right side
    206,801.40x = 33,149,870,149.24
  5. Step 5: Solve for x
    x = 33,149,870,149.24/206,801.40
  6. Step 6: Final answer
    x = 160,298.09

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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.