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Finding the Fourth Proportional to 187,404.91, 280,844.92 and 98,525.23

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Solution

The fourth proportional to 187,404.91, 280,844.92 and 98,525.23 is: 147,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,404.91 : 280,844.92 = 98,525.23 : x
  2. Step 2: Convert to fraction form
    187,404.91/280,844.92 = 98,525.23/x
  3. Step 3: Cross multiply
    187,404.91x = 280,844.92 × 98,525.23
  4. Step 4: Simplify right side
    187,404.91x = 27,670,310,337.33
  5. Step 5: Solve for x
    x = 27,670,310,337.33/187,404.91
  6. Step 6: Final answer
    x = 147,649.87

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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.