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Finding the Fourth Proportional to 193,295.70, 289,943.55 and 151,305.30

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Solution

The fourth proportional to 193,295.70, 289,943.55 and 151,305.30 is: 226,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,295.70 : 289,943.55 = 151,305.30 : x
  2. Step 2: Convert to fraction form
    193,295.70/289,943.55 = 151,305.30/x
  3. Step 3: Cross multiply
    193,295.70x = 289,943.55 × 151,305.30
  4. Step 4: Simplify right side
    193,295.70x = 43,869,995,815.82
  5. Step 5: Solve for x
    x = 43,869,995,815.82/193,295.70
  6. Step 6: Final answer
    x = 226,957.95

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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.