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Finding the Fourth Proportional to 134,711.96, 202,072.71 and 33,510.54

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Solution

The fourth proportional to 134,711.96, 202,072.71 and 33,510.54 is: 50,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,711.96 : 202,072.71 = 33,510.54 : x
  2. Step 2: Convert to fraction form
    134,711.96/202,072.71 = 33,510.54/x
  3. Step 3: Cross multiply
    134,711.96x = 202,072.71 × 33,510.54
  4. Step 4: Simplify right side
    134,711.96x = 6,771,564,537.22
  5. Step 5: Solve for x
    x = 6,771,564,537.22/134,711.96
  6. Step 6: Final answer
    x = 50,266.99

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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.