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Finding the Fourth Proportional to 204,462.37, 282,138.28 and 150,776.29

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Solution

The fourth proportional to 204,462.37, 282,138.28 and 150,776.29 is: 208,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,462.37 : 282,138.28 = 150,776.29 : x
  2. Step 2: Convert to fraction form
    204,462.37/282,138.28 = 150,776.29/x
  3. Step 3: Cross multiply
    204,462.37x = 282,138.28 × 150,776.29
  4. Step 4: Simplify right side
    204,462.37x = 42,539,763,125.38
  5. Step 5: Solve for x
    x = 42,539,763,125.38/204,462.37
  6. Step 6: Final answer
    x = 208,056.69

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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.