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Finding the Fourth Proportional to 275,123.91, 412,804.67 and 148,853.13

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Solution

The fourth proportional to 275,123.91, 412,804.67 and 148,853.13 is: 223,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,123.91 : 412,804.67 = 148,853.13 : x
  2. Step 2: Convert to fraction form
    275,123.91/412,804.67 = 148,853.13/x
  3. Step 3: Cross multiply
    275,123.91x = 412,804.67 × 148,853.13
  4. Step 4: Simplify right side
    275,123.91x = 61,447,266,463.85
  5. Step 5: Solve for x
    x = 61,447,266,463.85/275,123.91
  6. Step 6: Final answer
    x = 223,343.97

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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.