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Finding the Fourth Proportional to 205,129.62, 283,078.26 and 114,484.59

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Solution

The fourth proportional to 205,129.62, 283,078.26 and 114,484.59 is: 157,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,129.62 : 283,078.26 = 114,484.59 : x
  2. Step 2: Convert to fraction form
    205,129.62/283,078.26 = 114,484.59/x
  3. Step 3: Cross multiply
    205,129.62x = 283,078.26 × 114,484.59
  4. Step 4: Simplify right side
    205,129.62x = 32,408,098,534.01
  5. Step 5: Solve for x
    x = 32,408,098,534.01/205,129.62
  6. Step 6: Final answer
    x = 157,988.39

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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.