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Finding the Fourth Proportional to 146,634, 202,354.92 and 79,566

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Solution

The fourth proportional to 146,634, 202,354.92 and 79,566 is: 109,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,634 : 202,354.92 = 79,566 : x
  2. Step 2: Convert to fraction form
    146,634/202,354.92 = 79,566/x
  3. Step 3: Cross multiply
    146,634x = 202,354.92 × 79,566
  4. Step 4: Simplify right side
    146,634x = 16,100,571,564.72
  5. Step 5: Solve for x
    x = 16,100,571,564.72/146,634
  6. Step 6: Final answer
    x = 109,801.08

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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.