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Finding the Fourth Proportional to 205,824.30, 308,736.45 and 112,512.30

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Solution

The fourth proportional to 205,824.30, 308,736.45 and 112,512.30 is: 168,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,824.30 : 308,736.45 = 112,512.30 : x
  2. Step 2: Convert to fraction form
    205,824.30/308,736.45 = 112,512.30/x
  3. Step 3: Cross multiply
    205,824.30x = 308,736.45 × 112,512.30
  4. Step 4: Simplify right side
    205,824.30x = 34,736,648,083.34
  5. Step 5: Solve for x
    x = 34,736,648,083.34/205,824.30
  6. Step 6: Final answer
    x = 168,768.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.