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Finding the Fourth Proportional to 146,862.72, 202,678.56 and 83,212.92

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Solution

The fourth proportional to 146,862.72, 202,678.56 and 83,212.92 is: 114,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,862.72 : 202,678.56 = 83,212.92 : x
  2. Step 2: Convert to fraction form
    146,862.72/202,678.56 = 83,212.92/x
  3. Step 3: Cross multiply
    146,862.72x = 202,678.56 × 83,212.92
  4. Step 4: Simplify right side
    146,862.72x = 16,865,474,799.00
  5. Step 5: Solve for x
    x = 16,865,474,799.00/146,862.72
  6. Step 6: Final answer
    x = 114,838.37

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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.