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Finding the Fourth Proportional to 169,396.25, 254,029.82 and 57,046.32

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Solution

The fourth proportional to 169,396.25, 254,029.82 and 57,046.32 is: 85,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,396.25 : 254,029.82 = 57,046.32 : x
  2. Step 2: Convert to fraction form
    169,396.25/254,029.82 = 57,046.32/x
  3. Step 3: Cross multiply
    169,396.25x = 254,029.82 × 57,046.32
  4. Step 4: Simplify right side
    169,396.25x = 14,491,466,116.03
  5. Step 5: Solve for x
    x = 14,491,466,116.03/169,396.25
  6. Step 6: Final answer
    x = 85,547.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.