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Finding the Fourth Proportional to 146,874, 202,688.56 and 83,224.88

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Solution

The fourth proportional to 146,874, 202,688.56 and 83,224.88 is: 114,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,874 : 202,688.56 = 83,224.88 : x
  2. Step 2: Convert to fraction form
    146,874/202,688.56 = 83,224.88/x
  3. Step 3: Cross multiply
    146,874x = 202,688.56 × 83,224.88
  4. Step 4: Simplify right side
    146,874x = 16,868,731,083.37
  5. Step 5: Solve for x
    x = 16,868,731,083.37/146,874
  6. Step 6: Final answer
    x = 114,851.72

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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.