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Finding the Fourth Proportional to 207,076.40, 310,614.60 and 186,737.30

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Solution

The fourth proportional to 207,076.40, 310,614.60 and 186,737.30 is: 280,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,076.40 : 310,614.60 = 186,737.30 : x
  2. Step 2: Convert to fraction form
    207,076.40/310,614.60 = 186,737.30/x
  3. Step 3: Cross multiply
    207,076.40x = 310,614.60 × 186,737.30
  4. Step 4: Simplify right side
    207,076.40x = 58,003,331,744.58
  5. Step 5: Solve for x
    x = 58,003,331,744.58/207,076.40
  6. Step 6: Final answer
    x = 280,105.95

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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.