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Finding the Fourth Proportional to 150,262, 207,361.56 and 83,194

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Solution

The fourth proportional to 150,262, 207,361.56 and 83,194 is: 114,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,262 : 207,361.56 = 83,194 : x
  2. Step 2: Convert to fraction form
    150,262/207,361.56 = 83,194/x
  3. Step 3: Cross multiply
    150,262x = 207,361.56 × 83,194
  4. Step 4: Simplify right side
    150,262x = 17,251,237,622.64
  5. Step 5: Solve for x
    x = 17,251,237,622.64/150,262
  6. Step 6: Final answer
    x = 114,807.72

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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.