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Finding the Fourth Proportional to 137,756.24, 206,668.68 and 39,260.24

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Solution

The fourth proportional to 137,756.24, 206,668.68 and 39,260.24 is: 58,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,756.24 : 206,668.68 = 39,260.24 : x
  2. Step 2: Convert to fraction form
    137,756.24/206,668.68 = 39,260.24/x
  3. Step 3: Cross multiply
    137,756.24x = 206,668.68 × 39,260.24
  4. Step 4: Simplify right side
    137,756.24x = 8,113,861,977.28
  5. Step 5: Solve for x
    x = 8,113,861,977.28/137,756.24
  6. Step 6: Final answer
    x = 58,900.14

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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.