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Finding the Fourth Proportional to 101,155.64, 151,782.06 and 54,402.44

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Solution

The fourth proportional to 101,155.64, 151,782.06 and 54,402.44 is: 81,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,155.64 : 151,782.06 = 54,402.44 : x
  2. Step 2: Convert to fraction form
    101,155.64/151,782.06 = 54,402.44/x
  3. Step 3: Cross multiply
    101,155.64x = 151,782.06 × 54,402.44
  4. Step 4: Simplify right side
    101,155.64x = 8,257,314,412.23
  5. Step 5: Solve for x
    x = 8,257,314,412.23/101,155.64
  6. Step 6: Final answer
    x = 81,629.80

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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.