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Finding the Fourth Proportional to 205,322.98, 283,327.26 and 114,666.36

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Solution

The fourth proportional to 205,322.98, 283,327.26 and 114,666.36 is: 158,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,322.98 : 283,327.26 = 114,666.36 : x
  2. Step 2: Convert to fraction form
    205,322.98/283,327.26 = 114,666.36/x
  3. Step 3: Cross multiply
    205,322.98x = 283,327.26 × 114,666.36
  4. Step 4: Simplify right side
    205,322.98x = 32,488,105,592.97
  5. Step 5: Solve for x
    x = 32,488,105,592.97/205,322.98
  6. Step 6: Final answer
    x = 158,229.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.