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Finding the Fourth Proportional to 252,228.24, 378,243.93 and 110,116.98

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Solution

The fourth proportional to 252,228.24, 378,243.93 and 110,116.98 is: 165,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,228.24 : 378,243.93 = 110,116.98 : x
  2. Step 2: Convert to fraction form
    252,228.24/378,243.93 = 110,116.98/x
  3. Step 3: Cross multiply
    252,228.24x = 378,243.93 × 110,116.98
  4. Step 4: Simplify right side
    252,228.24x = 41,651,079,274.93
  5. Step 5: Solve for x
    x = 41,651,079,274.93/252,228.24
  6. Step 6: Final answer
    x = 165,132.50

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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.