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Finding the Fourth Proportional to 146,893, 202,729.62 and 87,277

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Solution

The fourth proportional to 146,893, 202,729.62 and 87,277 is: 120,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,893 : 202,729.62 = 87,277 : x
  2. Step 2: Convert to fraction form
    146,893/202,729.62 = 87,277/x
  3. Step 3: Cross multiply
    146,893x = 202,729.62 × 87,277
  4. Step 4: Simplify right side
    146,893x = 17,693,633,044.74
  5. Step 5: Solve for x
    x = 17,693,633,044.74/146,893
  6. Step 6: Final answer
    x = 120,452.53

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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.