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Finding the Fourth Proportional to 165,021, 227,710.04 and 92,413.76

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Solution

The fourth proportional to 165,021, 227,710.04 and 92,413.76 is: 127,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,021 : 227,710.04 = 92,413.76 : x
  2. Step 2: Convert to fraction form
    165,021/227,710.04 = 92,413.76/x
  3. Step 3: Cross multiply
    165,021x = 227,710.04 × 92,413.76
  4. Step 4: Simplify right side
    165,021x = 21,043,540,986.15
  5. Step 5: Solve for x
    x = 21,043,540,986.15/165,021
  6. Step 6: Final answer
    x = 127,520.38

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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.