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Finding the Fourth Proportional to 162,204.88, 223,840.38 and 90,584.14

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Solution

The fourth proportional to 162,204.88, 223,840.38 and 90,584.14 is: 125,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,204.88 : 223,840.38 = 90,584.14 : x
  2. Step 2: Convert to fraction form
    162,204.88/223,840.38 = 90,584.14/x
  3. Step 3: Cross multiply
    162,204.88x = 223,840.38 × 90,584.14
  4. Step 4: Simplify right side
    162,204.88x = 20,276,388,319.57
  5. Step 5: Solve for x
    x = 20,276,388,319.57/162,204.88
  6. Step 6: Final answer
    x = 125,004.80

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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.