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Finding the Fourth Proportional to 200,702.11, 276,700.97 and 159,445.98

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Solution

The fourth proportional to 200,702.11, 276,700.97 and 159,445.98 is: 219,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,702.11 : 276,700.97 = 159,445.98 : x
  2. Step 2: Convert to fraction form
    200,702.11/276,700.97 = 159,445.98/x
  3. Step 3: Cross multiply
    200,702.11x = 276,700.97 × 159,445.98
  4. Step 4: Simplify right side
    200,702.11x = 44,118,856,531.37
  5. Step 5: Solve for x
    x = 44,118,856,531.37/200,702.11
  6. Step 6: Final answer
    x = 219,822.59

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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.