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Finding the Fourth Proportional to 192,684.94, 289,055.14 and 59,576.82

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Solution

The fourth proportional to 192,684.94, 289,055.14 and 59,576.82 is: 89,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,684.94 : 289,055.14 = 59,576.82 : x
  2. Step 2: Convert to fraction form
    192,684.94/289,055.14 = 59,576.82/x
  3. Step 3: Cross multiply
    192,684.94x = 289,055.14 × 59,576.82
  4. Step 4: Simplify right side
    192,684.94x = 17,220,986,045.85
  5. Step 5: Solve for x
    x = 17,220,986,045.85/192,684.94
  6. Step 6: Final answer
    x = 89,373.80

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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.