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Finding the Fourth Proportional to 196,033.76, 294,147.84 and 77,702.48

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Solution

The fourth proportional to 196,033.76, 294,147.84 and 77,702.48 is: 116,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,033.76 : 294,147.84 = 77,702.48 : x
  2. Step 2: Convert to fraction form
    196,033.76/294,147.84 = 77,702.48/x
  3. Step 3: Cross multiply
    196,033.76x = 294,147.84 × 77,702.48
  4. Step 4: Simplify right side
    196,033.76x = 22,856,016,654.64
  5. Step 5: Solve for x
    x = 22,856,016,654.64/196,033.76
  6. Step 6: Final answer
    x = 116,592.25

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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.