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Finding the Fourth Proportional to 227,123.65, 340,761.33 and 100,746.48

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Solution

The fourth proportional to 227,123.65, 340,761.33 and 100,746.48 is: 151,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,123.65 : 340,761.33 = 100,746.48 : x
  2. Step 2: Convert to fraction form
    227,123.65/340,761.33 = 100,746.48/x
  3. Step 3: Cross multiply
    227,123.65x = 340,761.33 × 100,746.48
  4. Step 4: Simplify right side
    227,123.65x = 34,330,505,795.47
  5. Step 5: Solve for x
    x = 34,330,505,795.47/227,123.65
  6. Step 6: Final answer
    x = 151,153.38

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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.