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Finding the Fourth Proportional to 146,023.34, 218,956.64 and 74,916.68

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Solution

The fourth proportional to 146,023.34, 218,956.64 and 74,916.68 is: 112,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,023.34 : 218,956.64 = 74,916.68 : x
  2. Step 2: Convert to fraction form
    146,023.34/218,956.64 = 74,916.68/x
  3. Step 3: Cross multiply
    146,023.34x = 218,956.64 × 74,916.68
  4. Step 4: Simplify right side
    146,023.34x = 16,403,503,063.39
  5. Step 5: Solve for x
    x = 16,403,503,063.39/146,023.34
  6. Step 6: Final answer
    x = 112,334.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.