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Finding the Fourth Proportional to 462,067.54, 693,166.92 and 142,246.02

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Solution

The fourth proportional to 462,067.54, 693,166.92 and 142,246.02 is: 213,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,067.54 : 693,166.92 = 142,246.02 : x
  2. Step 2: Convert to fraction form
    462,067.54/693,166.92 = 142,246.02/x
  3. Step 3: Cross multiply
    462,067.54x = 693,166.92 × 142,246.02
  4. Step 4: Simplify right side
    462,067.54x = 98,600,237,631.61
  5. Step 5: Solve for x
    x = 98,600,237,631.61/462,067.54
  6. Step 6: Final answer
    x = 213,389.23

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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.