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Finding the Fourth Proportional to 205,324.50, 307,962.50 and 63,169.50

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Solution

The fourth proportional to 205,324.50, 307,962.50 and 63,169.50 is: 94,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,324.50 : 307,962.50 = 63,169.50 : x
  2. Step 2: Convert to fraction form
    205,324.50/307,962.50 = 63,169.50/x
  3. Step 3: Cross multiply
    205,324.50x = 307,962.50 × 63,169.50
  4. Step 4: Simplify right side
    205,324.50x = 19,453,837,982.76
  5. Step 5: Solve for x
    x = 19,453,837,982.76/205,324.50
  6. Step 6: Final answer
    x = 94,746.79

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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.