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Finding the Fourth Proportional to 117,761.96, 162,509.91 and 64,045.82

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Solution

The fourth proportional to 117,761.96, 162,509.91 and 64,045.82 is: 88,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,761.96 : 162,509.91 = 64,045.82 : x
  2. Step 2: Convert to fraction form
    117,761.96/162,509.91 = 64,045.82/x
  3. Step 3: Cross multiply
    117,761.96x = 162,509.91 × 64,045.82
  4. Step 4: Simplify right side
    117,761.96x = 10,408,079,631.53
  5. Step 5: Solve for x
    x = 10,408,079,631.53/117,761.96
  6. Step 6: Final answer
    x = 88,382.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.