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Finding the Fourth Proportional to 204,510.70, 306,662.23 and 153,442.54

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Solution

The fourth proportional to 204,510.70, 306,662.23 and 153,442.54 is: 230,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510.70 : 306,662.23 = 153,442.54 : x
  2. Step 2: Convert to fraction form
    204,510.70/306,662.23 = 153,442.54/x
  3. Step 3: Cross multiply
    204,510.70x = 306,662.23 × 153,442.54
  4. Step 4: Simplify right side
    204,510.70x = 47,055,031,493.26
  5. Step 5: Solve for x
    x = 47,055,031,493.26/204,510.70
  6. Step 6: Final answer
    x = 230,085.91

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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.