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Finding the Fourth Proportional to 194,142.04, 267,953.16 and 117,702.80

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Solution

The fourth proportional to 194,142.04, 267,953.16 and 117,702.80 is: 162,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,142.04 : 267,953.16 = 117,702.80 : x
  2. Step 2: Convert to fraction form
    194,142.04/267,953.16 = 117,702.80/x
  3. Step 3: Cross multiply
    194,142.04x = 267,953.16 × 117,702.80
  4. Step 4: Simplify right side
    194,142.04x = 31,538,837,200.85
  5. Step 5: Solve for x
    x = 31,538,837,200.85/194,142.04
  6. Step 6: Final answer
    x = 162,452.38

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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.