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Finding the Fourth Proportional to 123,413.20, 185,119.80 and 83,496.40

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Solution

The fourth proportional to 123,413.20, 185,119.80 and 83,496.40 is: 125,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,413.20 : 185,119.80 = 83,496.40 : x
  2. Step 2: Convert to fraction form
    123,413.20/185,119.80 = 83,496.40/x
  3. Step 3: Cross multiply
    123,413.20x = 185,119.80 × 83,496.40
  4. Step 4: Simplify right side
    123,413.20x = 15,456,836,868.72
  5. Step 5: Solve for x
    x = 15,456,836,868.72/123,413.20
  6. Step 6: Final answer
    x = 125,244.60

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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.