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Finding the Fourth Proportional to 311,773.05, 467,708.58 and 101,361.78

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Solution

The fourth proportional to 311,773.05, 467,708.58 and 101,361.78 is: 152,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,773.05 : 467,708.58 = 101,361.78 : x
  2. Step 2: Convert to fraction form
    311,773.05/467,708.58 = 101,361.78/x
  3. Step 3: Cross multiply
    311,773.05x = 467,708.58 × 101,361.78
  4. Step 4: Simplify right side
    311,773.05x = 47,407,774,190.07
  5. Step 5: Solve for x
    x = 47,407,774,190.07/311,773.05
  6. Step 6: Final answer
    x = 152,058.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.