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Finding the Fourth Proportional to 146,713, 202,466.34 and 79,645

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Solution

The fourth proportional to 146,713, 202,466.34 and 79,645 is: 109,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,713 : 202,466.34 = 79,645 : x
  2. Step 2: Convert to fraction form
    146,713/202,466.34 = 79,645/x
  3. Step 3: Cross multiply
    146,713x = 202,466.34 × 79,645
  4. Step 4: Simplify right side
    146,713x = 16,125,431,649.30
  5. Step 5: Solve for x
    x = 16,125,431,649.30/146,713
  6. Step 6: Final answer
    x = 109,911.40

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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.