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Finding the Fourth Proportional to 117,659, 176,291.94 and 73,175.96

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Solution

The fourth proportional to 117,659, 176,291.94 and 73,175.96 is: 109,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,659 : 176,291.94 = 73,175.96 : x
  2. Step 2: Convert to fraction form
    117,659/176,291.94 = 73,175.96/x
  3. Step 3: Cross multiply
    117,659x = 176,291.94 × 73,175.96
  4. Step 4: Simplify right side
    117,659x = 12,900,331,949.76
  5. Step 5: Solve for x
    x = 12,900,331,949.76/117,659
  6. Step 6: Final answer
    x = 109,641.69

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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.