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Finding the Fourth Proportional to 112,069.80, 167,957.10 and 82,348.20

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Solution

The fourth proportional to 112,069.80, 167,957.10 and 82,348.20 is: 123,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,069.80 : 167,957.10 = 82,348.20 : x
  2. Step 2: Convert to fraction form
    112,069.80/167,957.10 = 82,348.20/x
  3. Step 3: Cross multiply
    112,069.80x = 167,957.10 × 82,348.20
  4. Step 4: Simplify right side
    112,069.80x = 13,830,964,862.22
  5. Step 5: Solve for x
    x = 13,830,964,862.22/112,069.80
  6. Step 6: Final answer
    x = 123,413.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.