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Finding the Fourth Proportional to 422,098.78, 633,089.58 and 106,536.82

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Solution

The fourth proportional to 422,098.78, 633,089.58 and 106,536.82 is: 159,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,098.78 : 633,089.58 = 106,536.82 : x
  2. Step 2: Convert to fraction form
    422,098.78/633,089.58 = 106,536.82/x
  3. Step 3: Cross multiply
    422,098.78x = 633,089.58 × 106,536.82
  4. Step 4: Simplify right side
    422,098.78x = 67,447,350,628.34
  5. Step 5: Solve for x
    x = 67,447,350,628.34/422,098.78
  6. Step 6: Final answer
    x = 159,790.44

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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.