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Finding the Fourth Proportional to 117,651, 162,358.38 and 64,659

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Solution

The fourth proportional to 117,651, 162,358.38 and 64,659 is: 89,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,651 : 162,358.38 = 64,659 : x
  2. Step 2: Convert to fraction form
    117,651/162,358.38 = 64,659/x
  3. Step 3: Cross multiply
    117,651x = 162,358.38 × 64,659
  4. Step 4: Simplify right side
    117,651x = 10,497,930,492.42
  5. Step 5: Solve for x
    x = 10,497,930,492.42/117,651
  6. Step 6: Final answer
    x = 89,229.42

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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.