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Finding the Fourth Proportional to 167,678.64, 251,518.14 and 43,019.64

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Solution

The fourth proportional to 167,678.64, 251,518.14 and 43,019.64 is: 64,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,678.64 : 251,518.14 = 43,019.64 : x
  2. Step 2: Convert to fraction form
    167,678.64/251,518.14 = 43,019.64/x
  3. Step 3: Cross multiply
    167,678.64x = 251,518.14 × 43,019.64
  4. Step 4: Simplify right side
    167,678.64x = 10,820,219,836.27
  5. Step 5: Solve for x
    x = 10,820,219,836.27/167,678.64
  6. Step 6: Final answer
    x = 64,529.51

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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.