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Finding the Fourth Proportional to 150,772.32, 208,057.68 and 83,700

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Solution

The fourth proportional to 150,772.32, 208,057.68 and 83,700 is: 115,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,772.32 : 208,057.68 = 83,700 : x
  2. Step 2: Convert to fraction form
    150,772.32/208,057.68 = 83,700/x
  3. Step 3: Cross multiply
    150,772.32x = 208,057.68 × 83,700
  4. Step 4: Simplify right side
    150,772.32x = 17,414,427,816
  5. Step 5: Solve for x
    x = 17,414,427,816/150,772.32
  6. Step 6: Final answer
    x = 115,501.49

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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.