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Finding the Fourth Proportional to 192,333, 288,463.86 and 52,073.40

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Solution

The fourth proportional to 192,333, 288,463.86 and 52,073.40 is: 78,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,333 : 288,463.86 = 52,073.40 : x
  2. Step 2: Convert to fraction form
    192,333/288,463.86 = 52,073.40/x
  3. Step 3: Cross multiply
    192,333x = 288,463.86 × 52,073.40
  4. Step 4: Simplify right side
    192,333x = 15,021,293,967.32
  5. Step 5: Solve for x
    x = 15,021,293,967.32/192,333
  6. Step 6: Final answer
    x = 78,100.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.