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Finding the Fourth Proportional to 199,901.93, 299,765.41 and 59,632.61

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Solution

The fourth proportional to 199,901.93, 299,765.41 and 59,632.61 is: 89,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,901.93 : 299,765.41 = 59,632.61 : x
  2. Step 2: Convert to fraction form
    199,901.93/299,765.41 = 59,632.61/x
  3. Step 3: Cross multiply
    199,901.93x = 299,765.41 × 59,632.61
  4. Step 4: Simplify right side
    199,901.93x = 17,875,792,138.11
  5. Step 5: Solve for x
    x = 17,875,792,138.11/199,901.93
  6. Step 6: Final answer
    x = 89,422.81

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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.