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Finding the Fourth Proportional to 146,466, 202,123.44 and 79,398

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Solution

The fourth proportional to 146,466, 202,123.44 and 79,398 is: 109,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,466 : 202,123.44 = 79,398 : x
  2. Step 2: Convert to fraction form
    146,466/202,123.44 = 79,398/x
  3. Step 3: Cross multiply
    146,466x = 202,123.44 × 79,398
  4. Step 4: Simplify right side
    146,466x = 16,048,196,889.12
  5. Step 5: Solve for x
    x = 16,048,196,889.12/146,466
  6. Step 6: Final answer
    x = 109,569.44

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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.