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Finding the Fourth Proportional to 181,400.50, 250,348.17 and 100,825.93

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Solution

The fourth proportional to 181,400.50, 250,348.17 and 100,825.93 is: 139,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,400.50 : 250,348.17 = 100,825.93 : x
  2. Step 2: Convert to fraction form
    181,400.50/250,348.17 = 100,825.93/x
  3. Step 3: Cross multiply
    181,400.50x = 250,348.17 × 100,825.93
  4. Step 4: Simplify right side
    181,400.50x = 25,241,587,064.05
  5. Step 5: Solve for x
    x = 25,241,587,064.05/181,400.50
  6. Step 6: Final answer
    x = 139,148.39

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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.