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Finding the Fourth Proportional to 189,516.60, 283,929.30 and 154,265.40

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Solution

The fourth proportional to 189,516.60, 283,929.30 and 154,265.40 is: 231,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,516.60 : 283,929.30 = 154,265.40 : x
  2. Step 2: Convert to fraction form
    189,516.60/283,929.30 = 154,265.40/x
  3. Step 3: Cross multiply
    189,516.60x = 283,929.30 × 154,265.40
  4. Step 4: Simplify right side
    189,516.60x = 43,800,467,036.22
  5. Step 5: Solve for x
    x = 43,800,467,036.22/189,516.60
  6. Step 6: Final answer
    x = 231,116.78

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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.