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Finding the Fourth Proportional to 165,143.56, 227,917.38 and 98,075.56

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Solution

The fourth proportional to 165,143.56, 227,917.38 and 98,075.56 is: 135,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,143.56 : 227,917.38 = 98,075.56 : x
  2. Step 2: Convert to fraction form
    165,143.56/227,917.38 = 98,075.56/x
  3. Step 3: Cross multiply
    165,143.56x = 227,917.38 × 98,075.56
  4. Step 4: Simplify right side
    165,143.56x = 22,353,124,677.23
  5. Step 5: Solve for x
    x = 22,353,124,677.23/165,143.56
  6. Step 6: Final answer
    x = 135,355.72

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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.