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Finding the Fourth Proportional to 205,151.57, 283,259.14 and 132,597.39

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Solution

The fourth proportional to 205,151.57, 283,259.14 and 132,597.39 is: 183,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,151.57 : 283,259.14 = 132,597.39 : x
  2. Step 2: Convert to fraction form
    205,151.57/283,259.14 = 132,597.39/x
  3. Step 3: Cross multiply
    205,151.57x = 283,259.14 × 132,597.39
  4. Step 4: Simplify right side
    205,151.57x = 37,559,422,326.15
  5. Step 5: Solve for x
    x = 37,559,422,326.15/205,151.57
  6. Step 6: Final answer
    x = 183,081.33

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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.