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Finding the Fourth Proportional to 200,534.76, 300,817.80 and 67,413.96

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Solution

The fourth proportional to 200,534.76, 300,817.80 and 67,413.96 is: 101,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,534.76 : 300,817.80 = 67,413.96 : x
  2. Step 2: Convert to fraction form
    200,534.76/300,817.80 = 67,413.96/x
  3. Step 3: Cross multiply
    200,534.76x = 300,817.80 × 67,413.96
  4. Step 4: Simplify right side
    200,534.76x = 20,279,319,136.49
  5. Step 5: Solve for x
    x = 20,279,319,136.49/200,534.76
  6. Step 6: Final answer
    x = 101,126.20

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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.