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Finding the Fourth Proportional to 137,037.48, 205,569.90 and 37,199.28

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Solution

The fourth proportional to 137,037.48, 205,569.90 and 37,199.28 is: 55,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037.48 : 205,569.90 = 37,199.28 : x
  2. Step 2: Convert to fraction form
    137,037.48/205,569.90 = 37,199.28/x
  3. Step 3: Cross multiply
    137,037.48x = 205,569.90 × 37,199.28
  4. Step 4: Simplify right side
    137,037.48x = 7,647,052,269.67
  5. Step 5: Solve for x
    x = 7,647,052,269.67/137,037.48
  6. Step 6: Final answer
    x = 55,802.63

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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.