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Finding the Fourth Proportional to 160,409.46, 221,388.80 and 92,413.51

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Solution

The fourth proportional to 160,409.46, 221,388.80 and 92,413.51 is: 127,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.46 : 221,388.80 = 92,413.51 : x
  2. Step 2: Convert to fraction form
    160,409.46/221,388.80 = 92,413.51/x
  3. Step 3: Cross multiply
    160,409.46x = 221,388.80 × 92,413.51
  4. Step 4: Simplify right side
    160,409.46x = 20,459,315,067.15
  5. Step 5: Solve for x
    x = 20,459,315,067.15/160,409.46
  6. Step 6: Final answer
    x = 127,544.31

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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.