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Finding the Fourth Proportional to 110,419.60, 165,629.40 and 102,643.60

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Solution

The fourth proportional to 110,419.60, 165,629.40 and 102,643.60 is: 153,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419.60 : 165,629.40 = 102,643.60 : x
  2. Step 2: Convert to fraction form
    110,419.60/165,629.40 = 102,643.60/x
  3. Step 3: Cross multiply
    110,419.60x = 165,629.40 × 102,643.60
  4. Step 4: Simplify right side
    110,419.60x = 17,000,797,881.84
  5. Step 5: Solve for x
    x = 17,000,797,881.84/110,419.60
  6. Step 6: Final answer
    x = 153,965.40

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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.