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Finding the Fourth Proportional to 109,424.70, 164,137.05 and 93,678.30

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Solution

The fourth proportional to 109,424.70, 164,137.05 and 93,678.30 is: 140,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,424.70 : 164,137.05 = 93,678.30 : x
  2. Step 2: Convert to fraction form
    109,424.70/164,137.05 = 93,678.30/x
  3. Step 3: Cross multiply
    109,424.70x = 164,137.05 × 93,678.30
  4. Step 4: Simplify right side
    109,424.70x = 15,376,079,811.02
  5. Step 5: Solve for x
    x = 15,376,079,811.02/109,424.70
  6. Step 6: Final answer
    x = 140,517.45

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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.