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Finding the Fourth Proportional to 146,866.56, 202,675.16 and 83,204.22

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Solution

The fourth proportional to 146,866.56, 202,675.16 and 83,204.22 is: 114,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,866.56 : 202,675.16 = 83,204.22 : x
  2. Step 2: Convert to fraction form
    146,866.56/202,675.16 = 83,204.22/x
  3. Step 3: Cross multiply
    146,866.56x = 202,675.16 × 83,204.22
  4. Step 4: Simplify right side
    146,866.56x = 16,863,428,601.18
  5. Step 5: Solve for x
    x = 16,863,428,601.18/146,866.56
  6. Step 6: Final answer
    x = 114,821.43

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1.5x scale

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.