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Finding the Fourth Proportional to 117,967.82, 176,979.67 and 51,419.84

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Solution

The fourth proportional to 117,967.82, 176,979.67 and 51,419.84 is: 77,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,967.82 : 176,979.67 = 51,419.84 : x
  2. Step 2: Convert to fraction form
    117,967.82/176,979.67 = 51,419.84/x
  3. Step 3: Cross multiply
    117,967.82x = 176,979.67 × 51,419.84
  4. Step 4: Simplify right side
    117,967.82x = 9,100,265,301.20
  5. Step 5: Solve for x
    x = 9,100,265,301.20/117,967.82
  6. Step 6: Final answer
    x = 77,141.93

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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.