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Finding the Fourth Proportional to 241,702.30, 362,116.05 and 206,710.30

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Solution

The fourth proportional to 241,702.30, 362,116.05 and 206,710.30 is: 309,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,702.30 : 362,116.05 = 206,710.30 : x
  2. Step 2: Convert to fraction form
    241,702.30/362,116.05 = 206,710.30/x
  3. Step 3: Cross multiply
    241,702.30x = 362,116.05 × 206,710.30
  4. Step 4: Simplify right side
    241,702.30x = 74,853,117,330.32
  5. Step 5: Solve for x
    x = 74,853,117,330.32/241,702.30
  6. Step 6: Final answer
    x = 309,691.37

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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.