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Finding the Fourth Proportional to 137,057.63, 205,562.87 and 37,225.87

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Solution

The fourth proportional to 137,057.63, 205,562.87 and 37,225.87 is: 55,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,057.63 : 205,562.87 = 37,225.87 : x
  2. Step 2: Convert to fraction form
    137,057.63/205,562.87 = 37,225.87/x
  3. Step 3: Cross multiply
    137,057.63x = 205,562.87 × 37,225.87
  4. Step 4: Simplify right side
    137,057.63x = 7,652,256,675.45
  5. Step 5: Solve for x
    x = 7,652,256,675.45/137,057.63
  6. Step 6: Final answer
    x = 55,832.40

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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.