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Finding the Fourth Proportional to 110,280.80, 165,464.40 and 43,709.60

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Solution

The fourth proportional to 110,280.80, 165,464.40 and 43,709.60 is: 65,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,280.80 : 165,464.40 = 43,709.60 : x
  2. Step 2: Convert to fraction form
    110,280.80/165,464.40 = 43,709.60/x
  3. Step 3: Cross multiply
    110,280.80x = 165,464.40 × 43,709.60
  4. Step 4: Simplify right side
    110,280.80x = 7,232,382,738.24
  5. Step 5: Solve for x
    x = 7,232,382,738.24/110,280.80
  6. Step 6: Final answer
    x = 65,581.52

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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.