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Finding the Fourth Proportional to 152,074.32, 209,844.24 and 84,082.14

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Solution

The fourth proportional to 152,074.32, 209,844.24 and 84,082.14 is: 116,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074.32 : 209,844.24 = 84,082.14 : x
  2. Step 2: Convert to fraction form
    152,074.32/209,844.24 = 84,082.14/x
  3. Step 3: Cross multiply
    152,074.32x = 209,844.24 × 84,082.14
  4. Step 4: Simplify right side
    152,074.32x = 17,644,152,765.87
  5. Step 5: Solve for x
    x = 17,644,152,765.87/152,074.32
  6. Step 6: Final answer
    x = 116,023.22

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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.