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Finding the Fourth Proportional to 116,774, 161,148.76 and 63,782

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Solution

The fourth proportional to 116,774, 161,148.76 and 63,782 is: 88,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,774 : 161,148.76 = 63,782 : x
  2. Step 2: Convert to fraction form
    116,774/161,148.76 = 63,782/x
  3. Step 3: Cross multiply
    116,774x = 161,148.76 × 63,782
  4. Step 4: Simplify right side
    116,774x = 10,278,390,210.32
  5. Step 5: Solve for x
    x = 10,278,390,210.32/116,774
  6. Step 6: Final answer
    x = 88,019.51

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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.