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Finding the Fourth Proportional to 311,856.50, 467,813.92 and 101,437.94

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Solution

The fourth proportional to 311,856.50, 467,813.92 and 101,437.94 is: 152,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,856.50 : 467,813.92 = 101,437.94 : x
  2. Step 2: Convert to fraction form
    311,856.50/467,813.92 = 101,437.94/x
  3. Step 3: Cross multiply
    311,856.50x = 467,813.92 × 101,437.94
  4. Step 4: Simplify right side
    311,856.50x = 47,454,080,348.12
  5. Step 5: Solve for x
    x = 47,454,080,348.12/311,856.50
  6. Step 6: Final answer
    x = 152,166.40

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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.