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Finding the Fourth Proportional to 145,192.56, 200,433.12 and 96,874.80

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Solution

The fourth proportional to 145,192.56, 200,433.12 and 96,874.80 is: 133,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,192.56 : 200,433.12 = 96,874.80 : x
  2. Step 2: Convert to fraction form
    145,192.56/200,433.12 = 96,874.80/x
  3. Step 3: Cross multiply
    145,192.56x = 200,433.12 × 96,874.80
  4. Step 4: Simplify right side
    145,192.56x = 19,416,918,413.38
  5. Step 5: Solve for x
    x = 19,416,918,413.38/145,192.56
  6. Step 6: Final answer
    x = 133,732.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.