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Finding the Fourth Proportional to 238,643.55, 329,296.41 and 147,966.44

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Solution

The fourth proportional to 238,643.55, 329,296.41 and 147,966.44 is: 204,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,643.55 : 329,296.41 = 147,966.44 : x
  2. Step 2: Convert to fraction form
    238,643.55/329,296.41 = 147,966.44/x
  3. Step 3: Cross multiply
    238,643.55x = 329,296.41 × 147,966.44
  4. Step 4: Simplify right side
    238,643.55x = 48,724,815,846.00
  5. Step 5: Solve for x
    x = 48,724,815,846.00/238,643.55
  6. Step 6: Final answer
    x = 204,174.03

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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.