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Finding the Fourth Proportional to 306,187.44, 458,853.48 and 148,374

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Solution

The fourth proportional to 306,187.44, 458,853.48 and 148,374 is: 222,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,187.44 : 458,853.48 = 148,374 : x
  2. Step 2: Convert to fraction form
    306,187.44/458,853.48 = 148,374/x
  3. Step 3: Cross multiply
    306,187.44x = 458,853.48 × 148,374
  4. Step 4: Simplify right side
    306,187.44x = 68,081,926,241.52
  5. Step 5: Solve for x
    x = 68,081,926,241.52/306,187.44
  6. Step 6: Final answer
    x = 222,353.75

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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.