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Finding the Fourth Proportional to 114,291.78, 171,389.58 and 43,202.46

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Solution

The fourth proportional to 114,291.78, 171,389.58 and 43,202.46 is: 64,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,291.78 : 171,389.58 = 43,202.46 : x
  2. Step 2: Convert to fraction form
    114,291.78/171,389.58 = 43,202.46/x
  3. Step 3: Cross multiply
    114,291.78x = 171,389.58 × 43,202.46
  4. Step 4: Simplify right side
    114,291.78x = 7,404,451,474.37
  5. Step 5: Solve for x
    x = 7,404,451,474.37/114,291.78
  6. Step 6: Final answer
    x = 64,785.51

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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.