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Finding the Fourth Proportional to 206,033.57, 310,454.24 and 169,413.95

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Solution

The fourth proportional to 206,033.57, 310,454.24 and 169,413.95 is: 255,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,033.57 : 310,454.24 = 169,413.95 : x
  2. Step 2: Convert to fraction form
    206,033.57/310,454.24 = 169,413.95/x
  3. Step 3: Cross multiply
    206,033.57x = 310,454.24 × 169,413.95
  4. Step 4: Simplify right side
    206,033.57x = 52,595,276,693.31
  5. Step 5: Solve for x
    x = 52,595,276,693.31/206,033.57
  6. Step 6: Final answer
    x = 255,275.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.