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Finding the Fourth Proportional to 132,806.50, 199,248.77 and 39,314.68

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Solution

The fourth proportional to 132,806.50, 199,248.77 and 39,314.68 is: 58,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,806.50 : 199,248.77 = 39,314.68 : x
  2. Step 2: Convert to fraction form
    132,806.50/199,248.77 = 39,314.68/x
  3. Step 3: Cross multiply
    132,806.50x = 199,248.77 × 39,314.68
  4. Step 4: Simplify right side
    132,806.50x = 7,833,401,436.37
  5. Step 5: Solve for x
    x = 7,833,401,436.37/132,806.50
  6. Step 6: Final answer
    x = 58,983.57

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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.