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Finding the Fourth Proportional to 256,054.14, 384,158.07 and 121,221

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Solution

The fourth proportional to 256,054.14, 384,158.07 and 121,221 is: 181,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,054.14 : 384,158.07 = 121,221 : x
  2. Step 2: Convert to fraction form
    256,054.14/384,158.07 = 121,221/x
  3. Step 3: Cross multiply
    256,054.14x = 384,158.07 × 121,221
  4. Step 4: Simplify right side
    256,054.14x = 46,568,025,403.47
  5. Step 5: Solve for x
    x = 46,568,025,403.47/256,054.14
  6. Step 6: Final answer
    x = 181,867.89

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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.