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Finding the Fourth Proportional to 206,529.48, 309,787.74 and 58,785.48

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Solution

The fourth proportional to 206,529.48, 309,787.74 and 58,785.48 is: 88,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,529.48 : 309,787.74 = 58,785.48 : x
  2. Step 2: Convert to fraction form
    206,529.48/309,787.74 = 58,785.48/x
  3. Step 3: Cross multiply
    206,529.48x = 309,787.74 × 58,785.48
  4. Step 4: Simplify right side
    206,529.48x = 18,211,020,994.02
  5. Step 5: Solve for x
    x = 18,211,020,994.02/206,529.48
  6. Step 6: Final answer
    x = 88,176.38

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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.