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Finding the Fourth Proportional to 134,797.48, 202,222.14 and 51,685

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Solution

The fourth proportional to 134,797.48, 202,222.14 and 51,685 is: 77,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,797.48 : 202,222.14 = 51,685 : x
  2. Step 2: Convert to fraction form
    134,797.48/202,222.14 = 51,685/x
  3. Step 3: Cross multiply
    134,797.48x = 202,222.14 × 51,685
  4. Step 4: Simplify right side
    134,797.48x = 10,451,851,305.90
  5. Step 5: Solve for x
    x = 10,451,851,305.90/134,797.48
  6. Step 6: Final answer
    x = 77,537.44

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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.