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Finding the Fourth Proportional to 165,224, 228,008.32 and 93,603.85

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Solution

The fourth proportional to 165,224, 228,008.32 and 93,603.85 is: 129,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,224 : 228,008.32 = 93,603.85 : x
  2. Step 2: Convert to fraction form
    165,224/228,008.32 = 93,603.85/x
  3. Step 3: Cross multiply
    165,224x = 228,008.32 × 93,603.85
  4. Step 4: Simplify right side
    165,224x = 21,342,456,584.03
  5. Step 5: Solve for x
    x = 21,342,456,584.03/165,224
  6. Step 6: Final answer
    x = 129,172.86

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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.