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Finding the Fourth Proportional to 230,942.60, 346,413.90 and 106,526.60

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Solution

The fourth proportional to 230,942.60, 346,413.90 and 106,526.60 is: 159,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,942.60 : 346,413.90 = 106,526.60 : x
  2. Step 2: Convert to fraction form
    230,942.60/346,413.90 = 106,526.60/x
  3. Step 3: Cross multiply
    230,942.60x = 346,413.90 × 106,526.60
  4. Step 4: Simplify right side
    230,942.60x = 36,902,294,959.74
  5. Step 5: Solve for x
    x = 36,902,294,959.74/230,942.60
  6. Step 6: Final answer
    x = 159,789.90

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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.