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Finding the Fourth Proportional to 101,524.16, 140,107.92 and 56,812.16

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Solution

The fourth proportional to 101,524.16, 140,107.92 and 56,812.16 is: 78,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524.16 : 140,107.92 = 56,812.16 : x
  2. Step 2: Convert to fraction form
    101,524.16/140,107.92 = 56,812.16/x
  3. Step 3: Cross multiply
    101,524.16x = 140,107.92 × 56,812.16
  4. Step 4: Simplify right side
    101,524.16x = 7,959,833,568.31
  5. Step 5: Solve for x
    x = 7,959,833,568.31/101,524.16
  6. Step 6: Final answer
    x = 78,403.34

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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.