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Finding the Fourth Proportional to 150,783.98, 208,082.16 and 82,790.16

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Solution

The fourth proportional to 150,783.98, 208,082.16 and 82,790.16 is: 114,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,783.98 : 208,082.16 = 82,790.16 : x
  2. Step 2: Convert to fraction form
    150,783.98/208,082.16 = 82,790.16/x
  3. Step 3: Cross multiply
    150,783.98x = 208,082.16 × 82,790.16
  4. Step 4: Simplify right side
    150,783.98x = 17,227,155,319.55
  5. Step 5: Solve for x
    x = 17,227,155,319.55/150,783.98
  6. Step 6: Final answer
    x = 114,250.57

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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.