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Finding the Fourth Proportional to 146,532, 202,214.28 and 79,464

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Solution

The fourth proportional to 146,532, 202,214.28 and 79,464 is: 109,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,532 : 202,214.28 = 79,464 : x
  2. Step 2: Convert to fraction form
    146,532/202,214.28 = 79,464/x
  3. Step 3: Cross multiply
    146,532x = 202,214.28 × 79,464
  4. Step 4: Simplify right side
    146,532x = 16,068,755,545.92
  5. Step 5: Solve for x
    x = 16,068,755,545.92/146,532
  6. Step 6: Final answer
    x = 109,660.39

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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.