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Finding the Fourth Proportional to 204,376.92, 306,627.80 and 104,607.80

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Solution

The fourth proportional to 204,376.92, 306,627.80 and 104,607.80 is: 156,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,376.92 : 306,627.80 = 104,607.80 : x
  2. Step 2: Convert to fraction form
    204,376.92/306,627.80 = 104,607.80/x
  3. Step 3: Cross multiply
    204,376.92x = 306,627.80 × 104,607.80
  4. Step 4: Simplify right side
    204,376.92x = 32,075,661,277.93
  5. Step 5: Solve for x
    x = 32,075,661,277.93/204,376.92
  6. Step 6: Final answer
    x = 156,943.66

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Why These Related Problems?

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