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Finding the Fourth Proportional to 165,253.50, 228,069.27 and 98,185.50

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Solution

The fourth proportional to 165,253.50, 228,069.27 and 98,185.50 is: 135,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,253.50 : 228,069.27 = 98,185.50 : x
  2. Step 2: Convert to fraction form
    165,253.50/228,069.27 = 98,185.50/x
  3. Step 3: Cross multiply
    165,253.50x = 228,069.27 × 98,185.50
  4. Step 4: Simplify right side
    165,253.50x = 22,393,095,309.59
  5. Step 5: Solve for x
    x = 22,393,095,309.59/165,253.50
  6. Step 6: Final answer
    x = 135,507.54

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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.