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Finding the Fourth Proportional to 140,231.63, 210,347.44 and 41,735.63

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Solution

The fourth proportional to 140,231.63, 210,347.44 and 41,735.63 is: 62,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,231.63 : 210,347.44 = 41,735.63 : x
  2. Step 2: Convert to fraction form
    140,231.63/210,347.44 = 41,735.63/x
  3. Step 3: Cross multiply
    140,231.63x = 210,347.44 × 41,735.63
  4. Step 4: Simplify right side
    140,231.63x = 8,778,981,875.55
  5. Step 5: Solve for x
    x = 8,778,981,875.55/140,231.63
  6. Step 6: Final answer
    x = 62,603.44

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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.