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Finding the Fourth Proportional to 102,668.72, 154,021.30 and 46,506.56

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Solution

The fourth proportional to 102,668.72, 154,021.30 and 46,506.56 is: 69,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,668.72 : 154,021.30 = 46,506.56 : x
  2. Step 2: Convert to fraction form
    102,668.72/154,021.30 = 46,506.56/x
  3. Step 3: Cross multiply
    102,668.72x = 154,021.30 × 46,506.56
  4. Step 4: Simplify right side
    102,668.72x = 7,162,999,943.36
  5. Step 5: Solve for x
    x = 7,162,999,943.36/102,668.72
  6. Step 6: Final answer
    x = 69,768.09

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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.