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Finding the Fourth Proportional to 192,029.90, 288,390.45 and 185,809.10

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Solution

The fourth proportional to 192,029.90, 288,390.45 and 185,809.10 is: 279,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,029.90 : 288,390.45 = 185,809.10 : x
  2. Step 2: Convert to fraction form
    192,029.90/288,390.45 = 185,809.10/x
  3. Step 3: Cross multiply
    192,029.90x = 288,390.45 × 185,809.10
  4. Step 4: Simplify right side
    192,029.90x = 53,585,569,963.10
  5. Step 5: Solve for x
    x = 53,585,569,963.10/192,029.90
  6. Step 6: Final answer
    x = 279,048.05

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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.