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Finding the Fourth Proportional to 266,445.22, 399,952.35 and 114,717.44

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Solution

The fourth proportional to 266,445.22, 399,952.35 and 114,717.44 is: 172,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,445.22 : 399,952.35 = 114,717.44 : x
  2. Step 2: Convert to fraction form
    266,445.22/399,952.35 = 114,717.44/x
  3. Step 3: Cross multiply
    266,445.22x = 399,952.35 × 114,717.44
  4. Step 4: Simplify right side
    266,445.22x = 45,881,509,140.40
  5. Step 5: Solve for x
    x = 45,881,509,140.40/266,445.22
  6. Step 6: Final answer
    x = 172,198.66

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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.