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Finding the Fourth Proportional to 537,820.92, 806,737.86 and 163,847.16

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Solution

The fourth proportional to 537,820.92, 806,737.86 and 163,847.16 is: 245,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,820.92 : 806,737.86 = 163,847.16 : x
  2. Step 2: Convert to fraction form
    537,820.92/806,737.86 = 163,847.16/x
  3. Step 3: Cross multiply
    537,820.92x = 806,737.86 × 163,847.16
  4. Step 4: Simplify right side
    537,820.92x = 132,181,707,225.48
  5. Step 5: Solve for x
    x = 132,181,707,225.48/537,820.92
  6. Step 6: Final answer
    x = 245,772.71

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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.