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Finding the Fourth Proportional to 192,468.74, 288,684.50 and 59,313.24

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Solution

The fourth proportional to 192,468.74, 288,684.50 and 59,313.24 is: 88,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468.74 : 288,684.50 = 59,313.24 : x
  2. Step 2: Convert to fraction form
    192,468.74/288,684.50 = 59,313.24/x
  3. Step 3: Cross multiply
    192,468.74x = 288,684.50 × 59,313.24
  4. Step 4: Simplify right side
    192,468.74x = 17,122,813,032.78
  5. Step 5: Solve for x
    x = 17,122,813,032.78/192,468.74
  6. Step 6: Final answer
    x = 88,964.12

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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.