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Finding the Fourth Proportional to 137,277.54, 205,895.16 and 37,445.85

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Solution

The fourth proportional to 137,277.54, 205,895.16 and 37,445.85 is: 56,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,277.54 : 205,895.16 = 37,445.85 : x
  2. Step 2: Convert to fraction form
    137,277.54/205,895.16 = 37,445.85/x
  3. Step 3: Cross multiply
    137,277.54x = 205,895.16 × 37,445.85
  4. Step 4: Simplify right side
    137,277.54x = 7,709,919,277.09
  5. Step 5: Solve for x
    x = 7,709,919,277.09/137,277.54
  6. Step 6: Final answer
    x = 56,163.01

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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.