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Finding the Fourth Proportional to 205,531.49, 283,597.17 and 114,858.47

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Solution

The fourth proportional to 205,531.49, 283,597.17 and 114,858.47 is: 158,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,531.49 : 283,597.17 = 114,858.47 : x
  2. Step 2: Convert to fraction form
    205,531.49/283,597.17 = 114,858.47/x
  3. Step 3: Cross multiply
    205,531.49x = 283,597.17 × 114,858.47
  4. Step 4: Simplify right side
    205,531.49x = 32,573,535,624.54
  5. Step 5: Solve for x
    x = 32,573,535,624.54/205,531.49
  6. Step 6: Final answer
    x = 158,484.41

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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.