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Finding the Fourth Proportional to 101,539.64, 140,120.13 and 56,214.44

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Solution

The fourth proportional to 101,539.64, 140,120.13 and 56,214.44 is: 77,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,539.64 : 140,120.13 = 56,214.44 : x
  2. Step 2: Convert to fraction form
    101,539.64/140,120.13 = 56,214.44/x
  3. Step 3: Cross multiply
    101,539.64x = 140,120.13 × 56,214.44
  4. Step 4: Simplify right side
    101,539.64x = 7,876,774,640.68
  5. Step 5: Solve for x
    x = 7,876,774,640.68/101,539.64
  6. Step 6: Final answer
    x = 77,573.40

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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.