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Finding the Fourth Proportional to 257,914.66, 386,806.38 and 100,057

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Solution

The fourth proportional to 257,914.66, 386,806.38 and 100,057 is: 150,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,914.66 : 386,806.38 = 100,057 : x
  2. Step 2: Convert to fraction form
    257,914.66/386,806.38 = 100,057/x
  3. Step 3: Cross multiply
    257,914.66x = 386,806.38 × 100,057
  4. Step 4: Simplify right side
    257,914.66x = 38,702,685,963.66
  5. Step 5: Solve for x
    x = 38,702,685,963.66/257,914.66
  6. Step 6: Final answer
    x = 150,060.05

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