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Finding the Fourth Proportional to 110,090.19, 165,134.41 and 65,421.12

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Solution

The fourth proportional to 110,090.19, 165,134.41 and 65,421.12 is: 98,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,090.19 : 165,134.41 = 65,421.12 : x
  2. Step 2: Convert to fraction form
    110,090.19/165,134.41 = 65,421.12/x
  3. Step 3: Cross multiply
    110,090.19x = 165,134.41 × 65,421.12
  4. Step 4: Simplify right side
    110,090.19x = 10,803,278,876.43
  5. Step 5: Solve for x
    x = 10,803,278,876.43/110,090.19
  6. Step 6: Final answer
    x = 98,131.16

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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.