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Finding the Fourth Proportional to 192,515.68, 288,740.71 and 52,241.50

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Solution

The fourth proportional to 192,515.68, 288,740.71 and 52,241.50 is: 78,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,515.68 : 288,740.71 = 52,241.50 : x
  2. Step 2: Convert to fraction form
    192,515.68/288,740.71 = 52,241.50/x
  3. Step 3: Cross multiply
    192,515.68x = 288,740.71 × 52,241.50
  4. Step 4: Simplify right side
    192,515.68x = 15,084,247,801.47
  5. Step 5: Solve for x
    x = 15,084,247,801.47/192,515.68
  6. Step 6: Final answer
    x = 78,353.35

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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.