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Finding the Fourth Proportional to 178,033.34, 266,963.90 and 65,766.43

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Solution

The fourth proportional to 178,033.34, 266,963.90 and 65,766.43 is: 98,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,033.34 : 266,963.90 = 65,766.43 : x
  2. Step 2: Convert to fraction form
    178,033.34/266,963.90 = 65,766.43/x
  3. Step 3: Cross multiply
    178,033.34x = 266,963.90 × 65,766.43
  4. Step 4: Simplify right side
    178,033.34x = 17,557,263,016.69
  5. Step 5: Solve for x
    x = 17,557,263,016.69/178,033.34
  6. Step 6: Final answer
    x = 98,617.84

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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.