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Finding the Fourth Proportional to 192,506.48, 288,792.60 and 59,384.24

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Solution

The fourth proportional to 192,506.48, 288,792.60 and 59,384.24 is: 89,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,506.48 : 288,792.60 = 59,384.24 : x
  2. Step 2: Convert to fraction form
    192,506.48/288,792.60 = 59,384.24/x
  3. Step 3: Cross multiply
    192,506.48x = 288,792.60 × 59,384.24
  4. Step 4: Simplify right side
    192,506.48x = 17,149,729,068.62
  5. Step 5: Solve for x
    x = 17,149,729,068.62/192,506.48
  6. Step 6: Final answer
    x = 89,086.50

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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.