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Finding the Fourth Proportional to 299,702.98, 449,776.37 and 141,931.90

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Solution

The fourth proportional to 299,702.98, 449,776.37 and 141,931.90 is: 213,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,702.98 : 449,776.37 = 141,931.90 : x
  2. Step 2: Convert to fraction form
    299,702.98/449,776.37 = 141,931.90/x
  3. Step 3: Cross multiply
    299,702.98x = 449,776.37 × 141,931.90
  4. Step 4: Simplify right side
    299,702.98x = 63,837,614,769.20
  5. Step 5: Solve for x
    x = 63,837,614,769.20/299,702.98
  6. Step 6: Final answer
    x = 213,002.94

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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.