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Finding the Fourth Proportional to 276,431.16, 381,472.62 and 157,199.16

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Solution

The fourth proportional to 276,431.16, 381,472.62 and 157,199.16 is: 216,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,431.16 : 381,472.62 = 157,199.16 : x
  2. Step 2: Convert to fraction form
    276,431.16/381,472.62 = 157,199.16/x
  3. Step 3: Cross multiply
    276,431.16x = 381,472.62 × 157,199.16
  4. Step 4: Simplify right side
    276,431.16x = 59,967,175,427.00
  5. Step 5: Solve for x
    x = 59,967,175,427.00/276,431.16
  6. Step 6: Final answer
    x = 216,933.49

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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.