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Finding the Fourth Proportional to 206,562.60, 309,751.74 and 58,784.04

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Solution

The fourth proportional to 206,562.60, 309,751.74 and 58,784.04 is: 88,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,562.60 : 309,751.74 = 58,784.04 : x
  2. Step 2: Convert to fraction form
    206,562.60/309,751.74 = 58,784.04/x
  3. Step 3: Cross multiply
    206,562.60x = 309,751.74 × 58,784.04
  4. Step 4: Simplify right side
    206,562.60x = 18,208,458,674.23
  5. Step 5: Solve for x
    x = 18,208,458,674.23/206,562.60
  6. Step 6: Final answer
    x = 88,149.83

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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.