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Finding the Fourth Proportional to 114,002.74, 171,007.02 and 54,017.14

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Solution

The fourth proportional to 114,002.74, 171,007.02 and 54,017.14 is: 81,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,002.74 : 171,007.02 = 54,017.14 : x
  2. Step 2: Convert to fraction form
    114,002.74/171,007.02 = 54,017.14/x
  3. Step 3: Cross multiply
    114,002.74x = 171,007.02 × 54,017.14
  4. Step 4: Simplify right side
    114,002.74x = 9,237,310,140.32
  5. Step 5: Solve for x
    x = 9,237,310,140.32/114,002.74
  6. Step 6: Final answer
    x = 81,027.09

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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.