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Finding the Fourth Proportional to 114,138.36, 171,275.22 and 51,807.96

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Solution

The fourth proportional to 114,138.36, 171,275.22 and 51,807.96 is: 77,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,138.36 : 171,275.22 = 51,807.96 : x
  2. Step 2: Convert to fraction form
    114,138.36/171,275.22 = 51,807.96/x
  3. Step 3: Cross multiply
    114,138.36x = 171,275.22 × 51,807.96
  4. Step 4: Simplify right side
    114,138.36x = 8,873,419,746.75
  5. Step 5: Solve for x
    x = 8,873,419,746.75/114,138.36
  6. Step 6: Final answer
    x = 77,742.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.