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Finding the Fourth Proportional to 146,961.72, 202,823.03 and 83,292.68

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Solution

The fourth proportional to 146,961.72, 202,823.03 and 83,292.68 is: 114,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,961.72 : 202,823.03 = 83,292.68 : x
  2. Step 2: Convert to fraction form
    146,961.72/202,823.03 = 83,292.68/x
  3. Step 3: Cross multiply
    146,961.72x = 202,823.03 × 83,292.68
  4. Step 4: Simplify right side
    146,961.72x = 16,893,673,376.78
  5. Step 5: Solve for x
    x = 16,893,673,376.78/146,961.72
  6. Step 6: Final answer
    x = 114,952.89

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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.