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Finding the Fourth Proportional to 135,177, 202,765.86 and 36,681

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Solution

The fourth proportional to 135,177, 202,765.86 and 36,681 is: 55,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177 : 202,765.86 = 36,681 : x
  2. Step 2: Convert to fraction form
    135,177/202,765.86 = 36,681/x
  3. Step 3: Cross multiply
    135,177x = 202,765.86 × 36,681
  4. Step 4: Simplify right side
    135,177x = 7,437,654,510.66
  5. Step 5: Solve for x
    x = 7,437,654,510.66/135,177
  6. Step 6: Final answer
    x = 55,021.60

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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.