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Finding the Fourth Proportional to 150,773.32, 208,059.06 and 83,701

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Solution

The fourth proportional to 150,773.32, 208,059.06 and 83,701 is: 115,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,773.32 : 208,059.06 = 83,701 : x
  2. Step 2: Convert to fraction form
    150,773.32/208,059.06 = 83,701/x
  3. Step 3: Cross multiply
    150,773.32x = 208,059.06 × 83,701
  4. Step 4: Simplify right side
    150,773.32x = 17,414,751,381.06
  5. Step 5: Solve for x
    x = 17,414,751,381.06/150,773.32
  6. Step 6: Final answer
    x = 115,502.87

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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.