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Finding the Fourth Proportional to 114,067.83, 157,339.47 and 73,167.24

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Solution

The fourth proportional to 114,067.83, 157,339.47 and 73,167.24 is: 100,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,067.83 : 157,339.47 = 73,167.24 : x
  2. Step 2: Convert to fraction form
    114,067.83/157,339.47 = 73,167.24/x
  3. Step 3: Cross multiply
    114,067.83x = 157,339.47 × 73,167.24
  4. Step 4: Simplify right side
    114,067.83x = 11,512,094,762.96
  5. Step 5: Solve for x
    x = 11,512,094,762.96/114,067.83
  6. Step 6: Final answer
    x = 100,923.24

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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.