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Finding the Fourth Proportional to 277,347.54, 416,257.29 and 108,985.53

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Solution

The fourth proportional to 277,347.54, 416,257.29 and 108,985.53 is: 163,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,347.54 : 416,257.29 = 108,985.53 : x
  2. Step 2: Convert to fraction form
    277,347.54/416,257.29 = 108,985.53/x
  3. Step 3: Cross multiply
    277,347.54x = 416,257.29 × 108,985.53
  4. Step 4: Simplify right side
    277,347.54x = 45,366,021,367.01
  5. Step 5: Solve for x
    x = 45,366,021,367.01/277,347.54
  6. Step 6: Final answer
    x = 163,571.02

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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.