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Finding the Fourth Proportional to 186,500.42, 279,994.51 and 110,737.30

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Solution

The fourth proportional to 186,500.42, 279,994.51 and 110,737.30 is: 166,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,500.42 : 279,994.51 = 110,737.30 : x
  2. Step 2: Convert to fraction form
    186,500.42/279,994.51 = 110,737.30/x
  3. Step 3: Cross multiply
    186,500.42x = 279,994.51 × 110,737.30
  4. Step 4: Simplify right side
    186,500.42x = 31,005,836,052.22
  5. Step 5: Solve for x
    x = 31,005,836,052.22/186,500.42
  6. Step 6: Final answer
    x = 166,250.76

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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.