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Finding the Fourth Proportional to 137,460.96, 206,047.44 and 57,544.74

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Solution

The fourth proportional to 137,460.96, 206,047.44 and 57,544.74 is: 86,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,460.96 : 206,047.44 = 57,544.74 : x
  2. Step 2: Convert to fraction form
    137,460.96/206,047.44 = 57,544.74/x
  3. Step 3: Cross multiply
    137,460.96x = 206,047.44 × 57,544.74
  4. Step 4: Simplify right side
    137,460.96x = 11,856,946,362.47
  5. Step 5: Solve for x
    x = 11,856,946,362.47/137,460.96
  6. Step 6: Final answer
    x = 86,256.83

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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.