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Finding the Fourth Proportional to 165,280.84, 228,086.49 and 89,829.34

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Solution

The fourth proportional to 165,280.84, 228,086.49 and 89,829.34 is: 123,963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,280.84 : 228,086.49 = 89,829.34 : x
  2. Step 2: Convert to fraction form
    165,280.84/228,086.49 = 89,829.34/x
  3. Step 3: Cross multiply
    165,280.84x = 228,086.49 × 89,829.34
  4. Step 4: Simplify right side
    165,280.84x = 20,488,858,859.62
  5. Step 5: Solve for x
    x = 20,488,858,859.62/165,280.84
  6. Step 6: Final answer
    x = 123,963.91

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1.5x scale

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.