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Finding the Fourth Proportional to 277,695.54, 416,562.75 and 137,416.50

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Solution

The fourth proportional to 277,695.54, 416,562.75 and 137,416.50 is: 206,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,695.54 : 416,562.75 = 137,416.50 : x
  2. Step 2: Convert to fraction form
    277,695.54/416,562.75 = 137,416.50/x
  3. Step 3: Cross multiply
    277,695.54x = 416,562.75 × 137,416.50
  4. Step 4: Simplify right side
    277,695.54x = 57,242,595,135.38
  5. Step 5: Solve for x
    x = 57,242,595,135.38/277,695.54
  6. Step 6: Final answer
    x = 206,134.37

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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.