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Finding the Fourth Proportional to 117,638, 162,340.44 and 64,646

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Solution

The fourth proportional to 117,638, 162,340.44 and 64,646 is: 89,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,638 : 162,340.44 = 64,646 : x
  2. Step 2: Convert to fraction form
    117,638/162,340.44 = 64,646/x
  3. Step 3: Cross multiply
    117,638x = 162,340.44 × 64,646
  4. Step 4: Simplify right side
    117,638x = 10,494,660,084.24
  5. Step 5: Solve for x
    x = 10,494,660,084.24/117,638
  6. Step 6: Final answer
    x = 89,211.48

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