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Finding the Fourth Proportional to 135,005.20, 202,507.80 and 41,510.95

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Solution

The fourth proportional to 135,005.20, 202,507.80 and 41,510.95 is: 62,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,005.20 : 202,507.80 = 41,510.95 : x
  2. Step 2: Convert to fraction form
    135,005.20/202,507.80 = 41,510.95/x
  3. Step 3: Cross multiply
    135,005.20x = 202,507.80 × 41,510.95
  4. Step 4: Simplify right side
    135,005.20x = 8,406,291,160.41
  5. Step 5: Solve for x
    x = 8,406,291,160.41/135,005.20
  6. Step 6: Final answer
    x = 62,266.43

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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.