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Finding the Fourth Proportional to 205,974.90, 308,962.35 and 65,747.70

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Solution

The fourth proportional to 205,974.90, 308,962.35 and 65,747.70 is: 98,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,974.90 : 308,962.35 = 65,747.70 : x
  2. Step 2: Convert to fraction form
    205,974.90/308,962.35 = 65,747.70/x
  3. Step 3: Cross multiply
    205,974.90x = 308,962.35 × 65,747.70
  4. Step 4: Simplify right side
    205,974.90x = 20,313,563,899.10
  5. Step 5: Solve for x
    x = 20,313,563,899.10/205,974.90
  6. Step 6: Final answer
    x = 98,621.55

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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.