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Finding the Fourth Proportional to 139,516.84, 192,532.80 and 75,854.80

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Solution

The fourth proportional to 139,516.84, 192,532.80 and 75,854.80 is: 104,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516.84 : 192,532.80 = 75,854.80 : x
  2. Step 2: Convert to fraction form
    139,516.84/192,532.80 = 75,854.80/x
  3. Step 3: Cross multiply
    139,516.84x = 192,532.80 × 75,854.80
  4. Step 4: Simplify right side
    139,516.84x = 14,604,537,037.44
  5. Step 5: Solve for x
    x = 14,604,537,037.44/139,516.84
  6. Step 6: Final answer
    x = 104,679.39

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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.