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Finding the Fourth Proportional to 110,927.30, 166,538.75 and 75,024.36

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Solution

The fourth proportional to 110,927.30, 166,538.75 and 75,024.36 is: 112,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,927.30 : 166,538.75 = 75,024.36 : x
  2. Step 2: Convert to fraction form
    110,927.30/166,538.75 = 75,024.36/x
  3. Step 3: Cross multiply
    110,927.30x = 166,538.75 × 75,024.36
  4. Step 4: Simplify right side
    110,927.30x = 12,494,462,758.83
  5. Step 5: Solve for x
    x = 12,494,462,758.83/110,927.30
  6. Step 6: Final answer
    x = 112,636.50

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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.