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Finding the Fourth Proportional to 117,367.17, 176,022.01 and 64,001.62

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Solution

The fourth proportional to 117,367.17, 176,022.01 and 64,001.62 is: 95,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,367.17 : 176,022.01 = 64,001.62 : x
  2. Step 2: Convert to fraction form
    117,367.17/176,022.01 = 64,001.62/x
  3. Step 3: Cross multiply
    117,367.17x = 176,022.01 × 64,001.62
  4. Step 4: Simplify right side
    117,367.17x = 11,265,693,795.66
  5. Step 5: Solve for x
    x = 11,265,693,795.66/117,367.17
  6. Step 6: Final answer
    x = 95,986.76

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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.