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Finding the Fourth Proportional to 230,276.96, 345,413.52 and 64,064.48

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Solution

The fourth proportional to 230,276.96, 345,413.52 and 64,064.48 is: 96,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,276.96 : 345,413.52 = 64,064.48 : x
  2. Step 2: Convert to fraction form
    230,276.96/345,413.52 = 64,064.48/x
  3. Step 3: Cross multiply
    230,276.96x = 345,413.52 × 64,064.48
  4. Step 4: Simplify right side
    230,276.96x = 22,128,737,543.77
  5. Step 5: Solve for x
    x = 22,128,737,543.77/230,276.96
  6. Step 6: Final answer
    x = 96,096.19

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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.