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Finding the Fourth Proportional to 256,797.99, 384,988.20 and 107,149.74

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Solution

The fourth proportional to 256,797.99, 384,988.20 and 107,149.74 is: 160,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,797.99 : 384,988.20 = 107,149.74 : x
  2. Step 2: Convert to fraction form
    256,797.99/384,988.20 = 107,149.74/x
  3. Step 3: Cross multiply
    256,797.99x = 384,988.20 × 107,149.74
  4. Step 4: Simplify right side
    256,797.99x = 41,251,385,533.07
  5. Step 5: Solve for x
    x = 41,251,385,533.07/256,797.99
  6. Step 6: Final answer
    x = 160,637.49

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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.