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Finding the Fourth Proportional to 203,164.65, 304,863.62 and 158,666.49

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Solution

The fourth proportional to 203,164.65, 304,863.62 and 158,666.49 is: 238,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,164.65 : 304,863.62 = 158,666.49 : x
  2. Step 2: Convert to fraction form
    203,164.65/304,863.62 = 158,666.49/x
  3. Step 3: Cross multiply
    203,164.65x = 304,863.62 × 158,666.49
  4. Step 4: Simplify right side
    203,164.65x = 48,371,639,720.76
  5. Step 5: Solve for x
    x = 48,371,639,720.76/203,164.65
  6. Step 6: Final answer
    x = 238,090.83

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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.