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Finding the Fourth Proportional to 311,856.85, 467,792.57 and 101,511.19

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Solution

The fourth proportional to 311,856.85, 467,792.57 and 101,511.19 is: 152,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,856.85 : 467,792.57 = 101,511.19 : x
  2. Step 2: Convert to fraction form
    311,856.85/467,792.57 = 101,511.19/x
  3. Step 3: Cross multiply
    311,856.85x = 467,792.57 × 101,511.19
  4. Step 4: Simplify right side
    311,856.85x = 47,486,177,607.34
  5. Step 5: Solve for x
    x = 47,486,177,607.34/311,856.85
  6. Step 6: Final answer
    x = 152,269.15

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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.