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Finding the Fourth Proportional to 140,229.50, 210,344.26 and 41,733.50

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Solution

The fourth proportional to 140,229.50, 210,344.26 and 41,733.50 is: 62,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,229.50 : 210,344.26 = 41,733.50 : x
  2. Step 2: Convert to fraction form
    140,229.50/210,344.26 = 41,733.50/x
  3. Step 3: Cross multiply
    140,229.50x = 210,344.26 × 41,733.50
  4. Step 4: Simplify right side
    140,229.50x = 8,778,402,174.71
  5. Step 5: Solve for x
    x = 8,778,402,174.71/140,229.50
  6. Step 6: Final answer
    x = 62,600.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.