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Finding the Fourth Proportional to 101,467.42, 140,025.20 and 56,147.31

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Solution

The fourth proportional to 101,467.42, 140,025.20 and 56,147.31 is: 77,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,467.42 : 140,025.20 = 56,147.31 : x
  2. Step 2: Convert to fraction form
    101,467.42/140,025.20 = 56,147.31/x
  3. Step 3: Cross multiply
    101,467.42x = 140,025.20 × 56,147.31
  4. Step 4: Simplify right side
    101,467.42x = 7,862,038,242.03
  5. Step 5: Solve for x
    x = 7,862,038,242.03/101,467.42
  6. Step 6: Final answer
    x = 77,483.38

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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.