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Finding the Fourth Proportional to 205,396.84, 307,963.36 and 85,536.88

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Solution

The fourth proportional to 205,396.84, 307,963.36 and 85,536.88 is: 128,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,396.84 : 307,963.36 = 85,536.88 : x
  2. Step 2: Convert to fraction form
    205,396.84/307,963.36 = 85,536.88/x
  3. Step 3: Cross multiply
    205,396.84x = 307,963.36 × 85,536.88
  4. Step 4: Simplify right side
    205,396.84x = 26,342,224,968.72
  5. Step 5: Solve for x
    x = 26,342,224,968.72/205,396.84
  6. Step 6: Final answer
    x = 128,250.39

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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.