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Finding the Fourth Proportional to 230,413.50, 345,678.57 and 64,201.50

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Solution

The fourth proportional to 230,413.50, 345,678.57 and 64,201.50 is: 96,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,413.50 : 345,678.57 = 64,201.50 : x
  2. Step 2: Convert to fraction form
    230,413.50/345,678.57 = 64,201.50/x
  3. Step 3: Cross multiply
    230,413.50x = 345,678.57 × 64,201.50
  4. Step 4: Simplify right side
    230,413.50x = 22,193,082,711.86
  5. Step 5: Solve for x
    x = 22,193,082,711.86/230,413.50
  6. Step 6: Final answer
    x = 96,318.50

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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.