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Finding the Fourth Proportional to 137,606.00, 206,371.53 and 37,742.42

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Solution

The fourth proportional to 137,606.00, 206,371.53 and 37,742.42 is: 56,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,606.00 : 206,371.53 = 37,742.42 : x
  2. Step 2: Convert to fraction form
    137,606.00/206,371.53 = 37,742.42/x
  3. Step 3: Cross multiply
    137,606.00x = 206,371.53 × 37,742.42
  4. Step 4: Simplify right side
    137,606.00x = 7,788,961,477.23
  5. Step 5: Solve for x
    x = 7,788,961,477.23/137,606.00
  6. Step 6: Final answer
    x = 56,603.36

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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.