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Finding the Fourth Proportional to 193,201.80, 289,413.90 and 130,216.20

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Solution

The fourth proportional to 193,201.80, 289,413.90 and 130,216.20 is: 195,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,201.80 : 289,413.90 = 130,216.20 : x
  2. Step 2: Convert to fraction form
    193,201.80/289,413.90 = 130,216.20/x
  3. Step 3: Cross multiply
    193,201.80x = 289,413.90 × 130,216.20
  4. Step 4: Simplify right side
    193,201.80x = 37,686,378,285.18
  5. Step 5: Solve for x
    x = 37,686,378,285.18/193,201.80
  6. Step 6: Final answer
    x = 195,062.25

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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.