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Finding the Fourth Proportional to 140,007, 193,202.64 and 79,569.66

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Solution

The fourth proportional to 140,007, 193,202.64 and 79,569.66 is: 109,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,007 : 193,202.64 = 79,569.66 : x
  2. Step 2: Convert to fraction form
    140,007/193,202.64 = 79,569.66/x
  3. Step 3: Cross multiply
    140,007x = 193,202.64 × 79,569.66
  4. Step 4: Simplify right side
    140,007x = 15,373,068,375.90
  5. Step 5: Solve for x
    x = 15,373,068,375.90/140,007
  6. Step 6: Final answer
    x = 109,802.14

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