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Finding the Fourth Proportional to 110,275.94, 165,362.04 and 77,033.54

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Solution

The fourth proportional to 110,275.94, 165,362.04 and 77,033.54 is: 115,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,275.94 : 165,362.04 = 77,033.54 : x
  2. Step 2: Convert to fraction form
    110,275.94/165,362.04 = 77,033.54/x
  3. Step 3: Cross multiply
    110,275.94x = 165,362.04 × 77,033.54
  4. Step 4: Simplify right side
    110,275.94x = 12,738,422,496.01
  5. Step 5: Solve for x
    x = 12,738,422,496.01/110,275.94
  6. Step 6: Final answer
    x = 115,514.07

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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.