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Finding the Fourth Proportional to 281,305.35, 421,928.87 and 148,131.63

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Solution

The fourth proportional to 281,305.35, 421,928.87 and 148,131.63 is: 222,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,305.35 : 421,928.87 = 148,131.63 : x
  2. Step 2: Convert to fraction form
    281,305.35/421,928.87 = 148,131.63/x
  3. Step 3: Cross multiply
    281,305.35x = 421,928.87 × 148,131.63
  4. Step 4: Simplify right side
    281,305.35x = 62,501,010,516.50
  5. Step 5: Solve for x
    x = 62,501,010,516.50/281,305.35
  6. Step 6: Final answer
    x = 222,182.09

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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.