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Finding the Fourth Proportional to 267,178, 368,705.68 and 147,946

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Solution

The fourth proportional to 267,178, 368,705.68 and 147,946 is: 204,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,178 : 368,705.68 = 147,946 : x
  2. Step 2: Convert to fraction form
    267,178/368,705.68 = 147,946/x
  3. Step 3: Cross multiply
    267,178x = 368,705.68 × 147,946
  4. Step 4: Simplify right side
    267,178x = 54,548,530,533.28
  5. Step 5: Solve for x
    x = 54,548,530,533.28/267,178
  6. Step 6: Final answer
    x = 204,165.50

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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.