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Finding the Fourth Proportional to 140,143.50, 193,402.13 and 76,485.38

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Solution

The fourth proportional to 140,143.50, 193,402.13 and 76,485.38 is: 105,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,143.50 : 193,402.13 = 76,485.38 : x
  2. Step 2: Convert to fraction form
    140,143.50/193,402.13 = 76,485.38/x
  3. Step 3: Cross multiply
    140,143.50x = 193,402.13 × 76,485.38
  4. Step 4: Simplify right side
    140,143.50x = 14,792,435,405.86
  5. Step 5: Solve for x
    x = 14,792,435,405.86/140,143.50
  6. Step 6: Final answer
    x = 105,552.06

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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.