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Finding the Fourth Proportional to 281,644.77, 422,503.94 and 148,529.98

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Solution

The fourth proportional to 281,644.77, 422,503.94 and 148,529.98 is: 222,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,644.77 : 422,503.94 = 148,529.98 : x
  2. Step 2: Convert to fraction form
    281,644.77/422,503.94 = 148,529.98/x
  3. Step 3: Cross multiply
    281,644.77x = 422,503.94 × 148,529.98
  4. Step 4: Simplify right side
    281,644.77x = 62,754,501,073.19
  5. Step 5: Solve for x
    x = 62,754,501,073.19/281,644.77
  6. Step 6: Final answer
    x = 222,814.37

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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.