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Finding the Fourth Proportional to 277,784.48, 416,590.82 and 100,268.92

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Solution

The fourth proportional to 277,784.48, 416,590.82 and 100,268.92 is: 150,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,784.48 : 416,590.82 = 100,268.92 : x
  2. Step 2: Convert to fraction form
    277,784.48/416,590.82 = 100,268.92/x
  3. Step 3: Cross multiply
    277,784.48x = 416,590.82 × 100,268.92
  4. Step 4: Simplify right side
    277,784.48x = 41,771,111,603.31
  5. Step 5: Solve for x
    x = 41,771,111,603.31/277,784.48
  6. Step 6: Final answer
    x = 150,372.37

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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.