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Finding the Fourth Proportional to 257,824, 386,736 and 91,618.56

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Solution

The fourth proportional to 257,824, 386,736 and 91,618.56 is: 137,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,824 : 386,736 = 91,618.56 : x
  2. Step 2: Convert to fraction form
    257,824/386,736 = 91,618.56/x
  3. Step 3: Cross multiply
    257,824x = 386,736 × 91,618.56
  4. Step 4: Simplify right side
    257,824x = 35,432,195,420.16
  5. Step 5: Solve for x
    x = 35,432,195,420.16/257,824
  6. Step 6: Final answer
    x = 137,427.84

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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.