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Finding the Fourth Proportional to 193,057.60, 289,413.60 and 74,689.60

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Solution

The fourth proportional to 193,057.60, 289,413.60 and 74,689.60 is: 111,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,057.60 : 289,413.60 = 74,689.60 : x
  2. Step 2: Convert to fraction form
    193,057.60/289,413.60 = 74,689.60/x
  3. Step 3: Cross multiply
    193,057.60x = 289,413.60 × 74,689.60
  4. Step 4: Simplify right side
    193,057.60x = 21,616,186,018.56
  5. Step 5: Solve for x
    x = 21,616,186,018.56/193,057.60
  6. Step 6: Final answer
    x = 111,967.55

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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.