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Finding the Fourth Proportional to 140,142.98, 193,401.42 and 76,484.88

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Solution

The fourth proportional to 140,142.98, 193,401.42 and 76,484.88 is: 105,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,142.98 : 193,401.42 = 76,484.88 : x
  2. Step 2: Convert to fraction form
    140,142.98/193,401.42 = 76,484.88/x
  3. Step 3: Cross multiply
    140,142.98x = 193,401.42 × 76,484.88
  4. Step 4: Simplify right side
    140,142.98x = 14,792,284,400.53
  5. Step 5: Solve for x
    x = 14,792,284,400.53/140,142.98
  6. Step 6: Final answer
    x = 105,551.38

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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.