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Finding the Fourth Proportional to 192,930.80, 289,407.14 and 59,829.98

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Solution

The fourth proportional to 192,930.80, 289,407.14 and 59,829.98 is: 89,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,930.80 : 289,407.14 = 59,829.98 : x
  2. Step 2: Convert to fraction form
    192,930.80/289,407.14 = 59,829.98/x
  3. Step 3: Cross multiply
    192,930.80x = 289,407.14 × 59,829.98
  4. Step 4: Simplify right side
    192,930.80x = 17,315,224,121.58
  5. Step 5: Solve for x
    x = 17,315,224,121.58/192,930.80
  6. Step 6: Final answer
    x = 89,748.37

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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.