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Finding the Fourth Proportional to 277,494.51, 416,194.82 and 77,768.93

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Solution

The fourth proportional to 277,494.51, 416,194.82 and 77,768.93 is: 116,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,494.51 : 416,194.82 = 77,768.93 : x
  2. Step 2: Convert to fraction form
    277,494.51/416,194.82 = 77,768.93/x
  3. Step 3: Cross multiply
    277,494.51x = 416,194.82 × 77,768.93
  4. Step 4: Simplify right side
    277,494.51x = 32,367,025,822.94
  5. Step 5: Solve for x
    x = 32,367,025,822.94/277,494.51
  6. Step 6: Final answer
    x = 116,640.24

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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.