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Finding the Fourth Proportional to 266,204.88, 399,197.16 and 108,326.16

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Solution

The fourth proportional to 266,204.88, 399,197.16 and 108,326.16 is: 162,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,204.88 : 399,197.16 = 108,326.16 : x
  2. Step 2: Convert to fraction form
    266,204.88/399,197.16 = 108,326.16/x
  3. Step 3: Cross multiply
    266,204.88x = 399,197.16 × 108,326.16
  4. Step 4: Simplify right side
    266,204.88x = 43,243,495,425.71
  5. Step 5: Solve for x
    x = 43,243,495,425.71/266,204.88
  6. Step 6: Final answer
    x = 162,444.41

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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.