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Finding the Fourth Proportional to 110,210.56, 165,218.82 and 43,697.40

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Solution

The fourth proportional to 110,210.56, 165,218.82 and 43,697.40 is: 65,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,210.56 : 165,218.82 = 43,697.40 : x
  2. Step 2: Convert to fraction form
    110,210.56/165,218.82 = 43,697.40/x
  3. Step 3: Cross multiply
    110,210.56x = 165,218.82 × 43,697.40
  4. Step 4: Simplify right side
    110,210.56x = 7,219,632,865.07
  5. Step 5: Solve for x
    x = 7,219,632,865.07/110,210.56
  6. Step 6: Final answer
    x = 65,507.63

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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.