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Finding the Fourth Proportional to 209,908.91, 289,665.70 and 114,413.51

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Solution

The fourth proportional to 209,908.91, 289,665.70 and 114,413.51 is: 157,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908.91 : 289,665.70 = 114,413.51 : x
  2. Step 2: Convert to fraction form
    209,908.91/289,665.70 = 114,413.51/x
  3. Step 3: Cross multiply
    209,908.91x = 289,665.70 × 114,413.51
  4. Step 4: Simplify right side
    209,908.91x = 33,141,667,729.24
  5. Step 5: Solve for x
    x = 33,141,667,729.24/209,908.91
  6. Step 6: Final answer
    x = 157,885.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.