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Finding the Fourth Proportional to 134,716.50, 202,103.91 and 51,610.50

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Solution

The fourth proportional to 134,716.50, 202,103.91 and 51,610.50 is: 77,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,716.50 : 202,103.91 = 51,610.50 : x
  2. Step 2: Convert to fraction form
    134,716.50/202,103.91 = 51,610.50/x
  3. Step 3: Cross multiply
    134,716.50x = 202,103.91 × 51,610.50
  4. Step 4: Simplify right side
    134,716.50x = 10,430,683,847.06
  5. Step 5: Solve for x
    x = 10,430,683,847.06/134,716.50
  6. Step 6: Final answer
    x = 77,426.92

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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.