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Finding the Fourth Proportional to 137,536.29, 206,302.74 and 37,696.40

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Solution

The fourth proportional to 137,536.29, 206,302.74 and 37,696.40 is: 56,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,536.29 : 206,302.74 = 37,696.40 : x
  2. Step 2: Convert to fraction form
    137,536.29/206,302.74 = 37,696.40/x
  3. Step 3: Cross multiply
    137,536.29x = 206,302.74 × 37,696.40
  4. Step 4: Simplify right side
    137,536.29x = 7,776,869,576.62
  5. Step 5: Solve for x
    x = 7,776,869,576.62/137,536.29
  6. Step 6: Final answer
    x = 56,544.13

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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.