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Finding the Fourth Proportional to 192,488, 288,727.14 and 52,242.98

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Solution

The fourth proportional to 192,488, 288,727.14 and 52,242.98 is: 78,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,488 : 288,727.14 = 52,242.98 : x
  2. Step 2: Convert to fraction form
    192,488/288,727.14 = 52,242.98/x
  3. Step 3: Cross multiply
    192,488x = 288,727.14 × 52,242.98
  4. Step 4: Simplify right side
    192,488x = 15,083,966,200.48
  5. Step 5: Solve for x
    x = 15,083,966,200.48/192,488
  6. Step 6: Final answer
    x = 78,363.15

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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.