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Finding the Fourth Proportional to 101,912.16, 152,798.46 and 51,895.44

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Solution

The fourth proportional to 101,912.16, 152,798.46 and 51,895.44 is: 77,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,912.16 : 152,798.46 = 51,895.44 : x
  2. Step 2: Convert to fraction form
    101,912.16/152,798.46 = 51,895.44/x
  3. Step 3: Cross multiply
    101,912.16x = 152,798.46 × 51,895.44
  4. Step 4: Simplify right side
    101,912.16x = 7,929,543,313.02
  5. Step 5: Solve for x
    x = 7,929,543,313.02/101,912.16
  6. Step 6: Final answer
    x = 77,807.63

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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.