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Finding the Fourth Proportional to 137,809.32, 190,206.48 and 84,082.80

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Solution

The fourth proportional to 137,809.32, 190,206.48 and 84,082.80 is: 116,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,809.32 : 190,206.48 = 84,082.80 : x
  2. Step 2: Convert to fraction form
    137,809.32/190,206.48 = 84,082.80/x
  3. Step 3: Cross multiply
    137,809.32x = 190,206.48 × 84,082.80
  4. Step 4: Simplify right side
    137,809.32x = 15,993,093,416.54
  5. Step 5: Solve for x
    x = 15,993,093,416.54/137,809.32
  6. Step 6: Final answer
    x = 116,052.34

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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.