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Finding the Fourth Proportional to 252,014.44, 377,807.10 and 111,696.52

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Solution

The fourth proportional to 252,014.44, 377,807.10 and 111,696.52 is: 167,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,014.44 : 377,807.10 = 111,696.52 : x
  2. Step 2: Convert to fraction form
    252,014.44/377,807.10 = 111,696.52/x
  3. Step 3: Cross multiply
    252,014.44x = 377,807.10 × 111,696.52
  4. Step 4: Simplify right side
    252,014.44x = 42,199,738,301.29
  5. Step 5: Solve for x
    x = 42,199,738,301.29/252,014.44
  6. Step 6: Final answer
    x = 167,449.68

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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.