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Finding the Fourth Proportional to 150,966.66, 208,380.42 and 97,251.51

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Solution

The fourth proportional to 150,966.66, 208,380.42 and 97,251.51 is: 134,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,966.66 : 208,380.42 = 97,251.51 : x
  2. Step 2: Convert to fraction form
    150,966.66/208,380.42 = 97,251.51/x
  3. Step 3: Cross multiply
    150,966.66x = 208,380.42 × 97,251.51
  4. Step 4: Simplify right side
    150,966.66x = 20,265,310,499.43
  5. Step 5: Solve for x
    x = 20,265,310,499.43/150,966.66
  6. Step 6: Final answer
    x = 134,236.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.