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Finding the Fourth Proportional to 101,464.70, 140,025.42 and 56,141.96

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Solution

The fourth proportional to 101,464.70, 140,025.42 and 56,141.96 is: 77,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,464.70 : 140,025.42 = 56,141.96 : x
  2. Step 2: Convert to fraction form
    101,464.70/140,025.42 = 56,141.96/x
  3. Step 3: Cross multiply
    101,464.70x = 140,025.42 × 56,141.96
  4. Step 4: Simplify right side
    101,464.70x = 7,861,301,528.62
  5. Step 5: Solve for x
    x = 7,861,301,528.62/101,464.70
  6. Step 6: Final answer
    x = 77,478.19

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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.