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Finding the Fourth Proportional to 145,265.80, 217,898.70 and 82,942.60

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Solution

The fourth proportional to 145,265.80, 217,898.70 and 82,942.60 is: 124,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,265.80 : 217,898.70 = 82,942.60 : x
  2. Step 2: Convert to fraction form
    145,265.80/217,898.70 = 82,942.60/x
  3. Step 3: Cross multiply
    145,265.80x = 217,898.70 × 82,942.60
  4. Step 4: Simplify right side
    145,265.80x = 18,073,084,714.62
  5. Step 5: Solve for x
    x = 18,073,084,714.62/145,265.80
  6. Step 6: Final answer
    x = 124,413.90

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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.