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Finding the Fourth Proportional to 199,825.20, 299,710.44 and 66,702.42

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Solution

The fourth proportional to 199,825.20, 299,710.44 and 66,702.42 is: 100,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,825.20 : 299,710.44 = 66,702.42 : x
  2. Step 2: Convert to fraction form
    199,825.20/299,710.44 = 66,702.42/x
  3. Step 3: Cross multiply
    199,825.20x = 299,710.44 × 66,702.42
  4. Step 4: Simplify right side
    199,825.20x = 19,991,411,647.26
  5. Step 5: Solve for x
    x = 19,991,411,647.26/199,825.20
  6. Step 6: Final answer
    x = 100,044.50

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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.