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Finding the Fourth Proportional to 167,470.64, 251,156 and 55,130.16

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Solution

The fourth proportional to 167,470.64, 251,156 and 55,130.16 is: 82,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,470.64 : 251,156 = 55,130.16 : x
  2. Step 2: Convert to fraction form
    167,470.64/251,156 = 55,130.16/x
  3. Step 3: Cross multiply
    167,470.64x = 251,156 × 55,130.16
  4. Step 4: Simplify right side
    167,470.64x = 13,846,270,464.96
  5. Step 5: Solve for x
    x = 13,846,270,464.96/167,470.64
  6. Step 6: Final answer
    x = 82,678.79

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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.