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Finding the Fourth Proportional to 204,379.55, 306,569.42 and 97,738.30

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Solution

The fourth proportional to 204,379.55, 306,569.42 and 97,738.30 is: 146,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,379.55 : 306,569.42 = 97,738.30 : x
  2. Step 2: Convert to fraction form
    204,379.55/306,569.42 = 97,738.30/x
  3. Step 3: Cross multiply
    204,379.55x = 306,569.42 × 97,738.30
  4. Step 4: Simplify right side
    204,379.55x = 29,963,573,942.79
  5. Step 5: Solve for x
    x = 29,963,573,942.79/204,379.55
  6. Step 6: Final answer
    x = 146,607.50

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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.