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Finding the Fourth Proportional to 219,942.40, 330,079.46 and 160,930.32

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Solution

The fourth proportional to 219,942.40, 330,079.46 and 160,930.32 is: 241,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,942.40 : 330,079.46 = 160,930.32 : x
  2. Step 2: Convert to fraction form
    219,942.40/330,079.46 = 160,930.32/x
  3. Step 3: Cross multiply
    219,942.40x = 330,079.46 × 160,930.32
  4. Step 4: Simplify right side
    219,942.40x = 53,119,793,123.23
  5. Step 5: Solve for x
    x = 53,119,793,123.23/219,942.40
  6. Step 6: Final answer
    x = 241,516.84

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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.