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Finding the Fourth Proportional to 137,903.37, 206,866.93 and 38,063.58

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Solution

The fourth proportional to 137,903.37, 206,866.93 and 38,063.58 is: 57,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,903.37 : 206,866.93 = 38,063.58 : x
  2. Step 2: Convert to fraction form
    137,903.37/206,866.93 = 38,063.58/x
  3. Step 3: Cross multiply
    137,903.37x = 206,866.93 × 38,063.58
  4. Step 4: Simplify right side
    137,903.37x = 7,874,095,939.41
  5. Step 5: Solve for x
    x = 7,874,095,939.41/137,903.37
  6. Step 6: Final answer
    x = 57,098.65

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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.