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Finding the Fourth Proportional to 282,339.54, 389,629.17 and 155,023.20

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Solution

The fourth proportional to 282,339.54, 389,629.17 and 155,023.20 is: 213,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,339.54 : 389,629.17 = 155,023.20 : x
  2. Step 2: Convert to fraction form
    282,339.54/389,629.17 = 155,023.20/x
  3. Step 3: Cross multiply
    282,339.54x = 389,629.17 × 155,023.20
  4. Step 4: Simplify right side
    282,339.54x = 60,401,560,746.74
  5. Step 5: Solve for x
    x = 60,401,560,746.74/282,339.54
  6. Step 6: Final answer
    x = 213,932.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.