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Finding the Fourth Proportional to 192,262.74, 287,826.15 and 142,009.14

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Solution

The fourth proportional to 192,262.74, 287,826.15 and 142,009.14 is: 212,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,262.74 : 287,826.15 = 142,009.14 : x
  2. Step 2: Convert to fraction form
    192,262.74/287,826.15 = 142,009.14/x
  3. Step 3: Cross multiply
    192,262.74x = 287,826.15 × 142,009.14
  4. Step 4: Simplify right side
    192,262.74x = 40,873,944,031.01
  5. Step 5: Solve for x
    x = 40,873,944,031.01/192,262.74
  6. Step 6: Final answer
    x = 212,594.20

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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.