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Finding the Fourth Proportional to 165,213.60, 227,994.72 and 89,762.40

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Solution

The fourth proportional to 165,213.60, 227,994.72 and 89,762.40 is: 123,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,213.60 : 227,994.72 = 89,762.40 : x
  2. Step 2: Convert to fraction form
    165,213.60/227,994.72 = 89,762.40/x
  3. Step 3: Cross multiply
    165,213.60x = 227,994.72 × 89,762.40
  4. Step 4: Simplify right side
    165,213.60x = 20,465,353,254.53
  5. Step 5: Solve for x
    x = 20,465,353,254.53/165,213.60
  6. Step 6: Final answer
    x = 123,872.09

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