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Finding the Fourth Proportional to 165,148.88, 227,924.89 and 98,080.88

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Solution

The fourth proportional to 165,148.88, 227,924.89 and 98,080.88 is: 135,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,148.88 : 227,924.89 = 98,080.88 : x
  2. Step 2: Convert to fraction form
    165,148.88/227,924.89 = 98,080.88/x
  3. Step 3: Cross multiply
    165,148.88x = 227,924.89 × 98,080.88
  4. Step 4: Simplify right side
    165,148.88x = 22,355,072,400.28
  5. Step 5: Solve for x
    x = 22,355,072,400.28/165,148.88
  6. Step 6: Final answer
    x = 135,363.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.