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Finding the Fourth Proportional to 135,031.98, 202,569.93 and 41,537.82

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Solution

The fourth proportional to 135,031.98, 202,569.93 and 41,537.82 is: 62,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,031.98 : 202,569.93 = 41,537.82 : x
  2. Step 2: Convert to fraction form
    135,031.98/202,569.93 = 41,537.82/x
  3. Step 3: Cross multiply
    135,031.98x = 202,569.93 × 41,537.82
  4. Step 4: Simplify right side
    135,031.98x = 8,414,313,289.75
  5. Step 5: Solve for x
    x = 8,414,313,289.75/135,031.98
  6. Step 6: Final answer
    x = 62,313.49

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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.