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Finding the Fourth Proportional to 111,114.78, 166,637.58 and 37,225.50

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Solution

The fourth proportional to 111,114.78, 166,637.58 and 37,225.50 is: 55,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,114.78 : 166,637.58 = 37,225.50 : x
  2. Step 2: Convert to fraction form
    111,114.78/166,637.58 = 37,225.50/x
  3. Step 3: Cross multiply
    111,114.78x = 166,637.58 × 37,225.50
  4. Step 4: Simplify right side
    111,114.78x = 6,203,167,234.29
  5. Step 5: Solve for x
    x = 6,203,167,234.29/111,114.78
  6. Step 6: Final answer
    x = 55,826.66

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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.