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Finding the Fourth Proportional to 101,159.44, 151,778.40 and 41,980

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Solution

The fourth proportional to 101,159.44, 151,778.40 and 41,980 is: 62,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,159.44 : 151,778.40 = 41,980 : x
  2. Step 2: Convert to fraction form
    101,159.44/151,778.40 = 41,980/x
  3. Step 3: Cross multiply
    101,159.44x = 151,778.40 × 41,980
  4. Step 4: Simplify right side
    101,159.44x = 6,371,657,232
  5. Step 5: Solve for x
    x = 6,371,657,232/101,159.44
  6. Step 6: Final answer
    x = 62,986.28

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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.