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Finding the Fourth Proportional to 192,665.34, 289,000.17 and 86,054.72

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Solution

The fourth proportional to 192,665.34, 289,000.17 and 86,054.72 is: 129,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,665.34 : 289,000.17 = 86,054.72 : x
  2. Step 2: Convert to fraction form
    192,665.34/289,000.17 = 86,054.72/x
  3. Step 3: Cross multiply
    192,665.34x = 289,000.17 × 86,054.72
  4. Step 4: Simplify right side
    192,665.34x = 24,869,827,264.30
  5. Step 5: Solve for x
    x = 24,869,827,264.30/192,665.34
  6. Step 6: Final answer
    x = 129,083.04

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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.