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Finding the Fourth Proportional to 205,683.84, 283,845.87 and 120,802.32

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Solution

The fourth proportional to 205,683.84, 283,845.87 and 120,802.32 is: 166,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,683.84 : 283,845.87 = 120,802.32 : x
  2. Step 2: Convert to fraction form
    205,683.84/283,845.87 = 120,802.32/x
  3. Step 3: Cross multiply
    205,683.84x = 283,845.87 × 120,802.32
  4. Step 4: Simplify right side
    205,683.84x = 34,289,239,618.42
  5. Step 5: Solve for x
    x = 34,289,239,618.42/205,683.84
  6. Step 6: Final answer
    x = 166,708.48

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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.