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Finding the Fourth Proportional to 150,120, 207,083.68 and 96,413.20

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Solution

The fourth proportional to 150,120, 207,083.68 and 96,413.20 is: 132,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,120 : 207,083.68 = 96,413.20 : x
  2. Step 2: Convert to fraction form
    150,120/207,083.68 = 96,413.20/x
  3. Step 3: Cross multiply
    150,120x = 207,083.68 × 96,413.20
  4. Step 4: Simplify right side
    150,120x = 19,965,600,256.58
  5. Step 5: Solve for x
    x = 19,965,600,256.58/150,120
  6. Step 6: Final answer
    x = 132,997.60

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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.