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Finding the Fourth Proportional to 280,576.62, 421,032.60 and 103,101.57

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Solution

The fourth proportional to 280,576.62, 421,032.60 and 103,101.57 is: 154,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,576.62 : 421,032.60 = 103,101.57 : x
  2. Step 2: Convert to fraction form
    280,576.62/421,032.60 = 103,101.57/x
  3. Step 3: Cross multiply
    280,576.62x = 421,032.60 × 103,101.57
  4. Step 4: Simplify right side
    280,576.62x = 43,409,122,081.18
  5. Step 5: Solve for x
    x = 43,409,122,081.18/280,576.62
  6. Step 6: Final answer
    x = 154,713.97

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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.