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Finding the Fourth Proportional to 101,721.64, 140,368.26 and 57,001

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Solution

The fourth proportional to 101,721.64, 140,368.26 and 57,001 is: 78,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,721.64 : 140,368.26 = 57,001 : x
  2. Step 2: Convert to fraction form
    101,721.64/140,368.26 = 57,001/x
  3. Step 3: Cross multiply
    101,721.64x = 140,368.26 × 57,001
  4. Step 4: Simplify right side
    101,721.64x = 8,001,131,188.26
  5. Step 5: Solve for x
    x = 8,001,131,188.26/101,721.64
  6. Step 6: Final answer
    x = 78,657.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.