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Finding the Fourth Proportional to 256,854.65, 354,459.75 and 142,138.09

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Solution

The fourth proportional to 256,854.65, 354,459.75 and 142,138.09 is: 196,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,854.65 : 354,459.75 = 142,138.09 : x
  2. Step 2: Convert to fraction form
    256,854.65/354,459.75 = 142,138.09/x
  3. Step 3: Cross multiply
    256,854.65x = 354,459.75 × 142,138.09
  4. Step 4: Simplify right side
    256,854.65x = 50,382,231,756.93
  5. Step 5: Solve for x
    x = 50,382,231,756.93/256,854.65
  6. Step 6: Final answer
    x = 196,150.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.