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Finding the Fourth Proportional to 275,969.96, 414,007.74 and 88,931.24

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Solution

The fourth proportional to 275,969.96, 414,007.74 and 88,931.24 is: 133,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,969.96 : 414,007.74 = 88,931.24 : x
  2. Step 2: Convert to fraction form
    275,969.96/414,007.74 = 88,931.24/x
  3. Step 3: Cross multiply
    275,969.96x = 414,007.74 × 88,931.24
  4. Step 4: Simplify right side
    275,969.96x = 36,818,221,687.80
  5. Step 5: Solve for x
    x = 36,818,221,687.80/275,969.96
  6. Step 6: Final answer
    x = 133,413.87

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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.