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Finding the Fourth Proportional to 166,978.56, 230,296.05 and 146,792.28

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Solution

The fourth proportional to 166,978.56, 230,296.05 and 146,792.28 is: 202,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,978.56 : 230,296.05 = 146,792.28 : x
  2. Step 2: Convert to fraction form
    166,978.56/230,296.05 = 146,792.28/x
  3. Step 3: Cross multiply
    166,978.56x = 230,296.05 × 146,792.28
  4. Step 4: Simplify right side
    166,978.56x = 33,805,682,254.49
  5. Step 5: Solve for x
    x = 33,805,682,254.49/166,978.56
  6. Step 6: Final answer
    x = 202,455.23

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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.