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Finding the Fourth Proportional to 117,742.27, 176,227.30 and 64,352.47

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Solution

The fourth proportional to 117,742.27, 176,227.30 and 64,352.47 is: 96,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,742.27 : 176,227.30 = 64,352.47 : x
  2. Step 2: Convert to fraction form
    117,742.27/176,227.30 = 64,352.47/x
  3. Step 3: Cross multiply
    117,742.27x = 176,227.30 × 64,352.47
  4. Step 4: Simplify right side
    117,742.27x = 11,340,662,036.43
  5. Step 5: Solve for x
    x = 11,340,662,036.43/117,742.27
  6. Step 6: Final answer
    x = 96,317.68

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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.