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Finding the Fourth Proportional to 186,504.42, 280,000.51 and 110,741.30

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Solution

The fourth proportional to 186,504.42, 280,000.51 and 110,741.30 is: 166,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,504.42 : 280,000.51 = 110,741.30 : x
  2. Step 2: Convert to fraction form
    186,504.42/280,000.51 = 110,741.30/x
  3. Step 3: Cross multiply
    186,504.42x = 280,000.51 × 110,741.30
  4. Step 4: Simplify right side
    186,504.42x = 31,007,620,478.06
  5. Step 5: Solve for x
    x = 31,007,620,478.06/186,504.42
  6. Step 6: Final answer
    x = 166,256.76

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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.