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Finding the Fourth Proportional to 146,592, 202,216.32 and 104,213.76

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Solution

The fourth proportional to 146,592, 202,216.32 and 104,213.76 is: 143,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,592 : 202,216.32 = 104,213.76 : x
  2. Step 2: Convert to fraction form
    146,592/202,216.32 = 104,213.76/x
  3. Step 3: Cross multiply
    146,592x = 202,216.32 × 104,213.76
  4. Step 4: Simplify right side
    146,592x = 21,073,723,040.56
  5. Step 5: Solve for x
    x = 21,073,723,040.56/146,592
  6. Step 6: Final answer
    x = 143,757.66

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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.