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Finding the Fourth Proportional to 280,838.44, 421,257.66 and 93,849.94

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Solution

The fourth proportional to 280,838.44, 421,257.66 and 93,849.94 is: 140,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838.44 : 421,257.66 = 93,849.94 : x
  2. Step 2: Convert to fraction form
    280,838.44/421,257.66 = 93,849.94/x
  3. Step 3: Cross multiply
    280,838.44x = 421,257.66 × 93,849.94
  4. Step 4: Simplify right side
    280,838.44x = 39,535,006,115.54
  5. Step 5: Solve for x
    x = 39,535,006,115.54/280,838.44
  6. Step 6: Final answer
    x = 140,774.91

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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.