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Finding the Fourth Proportional to 162,207.24, 223,820.46 and 90,583.80

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Solution

The fourth proportional to 162,207.24, 223,820.46 and 90,583.80 is: 124,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,207.24 : 223,820.46 = 90,583.80 : x
  2. Step 2: Convert to fraction form
    162,207.24/223,820.46 = 90,583.80/x
  3. Step 3: Cross multiply
    162,207.24x = 223,820.46 × 90,583.80
  4. Step 4: Simplify right side
    162,207.24x = 20,274,507,784.55
  5. Step 5: Solve for x
    x = 20,274,507,784.55/162,207.24
  6. Step 6: Final answer
    x = 124,991.39

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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.