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Finding the Fourth Proportional to 101,563.92, 140,157.84 and 56,851.92

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Solution

The fourth proportional to 101,563.92, 140,157.84 and 56,851.92 is: 78,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,563.92 : 140,157.84 = 56,851.92 : x
  2. Step 2: Convert to fraction form
    101,563.92/140,157.84 = 56,851.92/x
  3. Step 3: Cross multiply
    101,563.92x = 140,157.84 × 56,851.92
  4. Step 4: Simplify right side
    101,563.92x = 7,968,242,307.05
  5. Step 5: Solve for x
    x = 7,968,242,307.05/101,563.92
  6. Step 6: Final answer
    x = 78,455.44

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Why These Related Problems?

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