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Finding the Fourth Proportional to 146,606.04, 202,317.21 and 82,957.14

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Solution

The fourth proportional to 146,606.04, 202,317.21 and 82,957.14 is: 114,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,606.04 : 202,317.21 = 82,957.14 : x
  2. Step 2: Convert to fraction form
    146,606.04/202,317.21 = 82,957.14/x
  3. Step 3: Cross multiply
    146,606.04x = 202,317.21 × 82,957.14
  4. Step 4: Simplify right side
    146,606.04x = 16,783,657,114.38
  5. Step 5: Solve for x
    x = 16,783,657,114.38/146,606.04
  6. Step 6: Final answer
    x = 114,481.35

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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.