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Finding the Fourth Proportional to 205,681.66, 283,841.34 and 115,039.18

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Solution

The fourth proportional to 205,681.66, 283,841.34 and 115,039.18 is: 158,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,681.66 : 283,841.34 = 115,039.18 : x
  2. Step 2: Convert to fraction form
    205,681.66/283,841.34 = 115,039.18/x
  3. Step 3: Cross multiply
    205,681.66x = 283,841.34 × 115,039.18
  4. Step 4: Simplify right side
    205,681.66x = 32,652,875,003.70
  5. Step 5: Solve for x
    x = 32,652,875,003.70/205,681.66
  6. Step 6: Final answer
    x = 158,754.43

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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.