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Finding the Fourth Proportional to 165,223, 228,006.94 and 93,602.85

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Solution

The fourth proportional to 165,223, 228,006.94 and 93,602.85 is: 129,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,223 : 228,006.94 = 93,602.85 : x
  2. Step 2: Convert to fraction form
    165,223/228,006.94 = 93,602.85/x
  3. Step 3: Cross multiply
    165,223x = 228,006.94 × 93,602.85
  4. Step 4: Simplify right side
    165,223x = 21,342,099,403.78
  5. Step 5: Solve for x
    x = 21,342,099,403.78/165,223
  6. Step 6: Final answer
    x = 129,171.48

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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.