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Finding the Fourth Proportional to 306,186.44, 458,851.98 and 148,373

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Solution

The fourth proportional to 306,186.44, 458,851.98 and 148,373 is: 222,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,186.44 : 458,851.98 = 148,373 : x
  2. Step 2: Convert to fraction form
    306,186.44/458,851.98 = 148,373/x
  3. Step 3: Cross multiply
    306,186.44x = 458,851.98 × 148,373
  4. Step 4: Simplify right side
    306,186.44x = 68,081,244,828.54
  5. Step 5: Solve for x
    x = 68,081,244,828.54/306,186.44
  6. Step 6: Final answer
    x = 222,352.25

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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.