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Finding the Fourth Proportional to 267,848, 369,630.24 and 148,616

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Solution

The fourth proportional to 267,848, 369,630.24 and 148,616 is: 205,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,848 : 369,630.24 = 148,616 : x
  2. Step 2: Convert to fraction form
    267,848/369,630.24 = 148,616/x
  3. Step 3: Cross multiply
    267,848x = 369,630.24 × 148,616
  4. Step 4: Simplify right side
    267,848x = 54,932,967,747.84
  5. Step 5: Solve for x
    x = 54,932,967,747.84/267,848
  6. Step 6: Final answer
    x = 205,090.08

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Why These Related Problems?

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