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Finding the Fourth Proportional to 277,400.63, 382,815.63 and 150,078.95

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Solution

The fourth proportional to 277,400.63, 382,815.63 and 150,078.95 is: 207,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,400.63 : 382,815.63 = 150,078.95 : x
  2. Step 2: Convert to fraction form
    277,400.63/382,815.63 = 150,078.95/x
  3. Step 3: Cross multiply
    277,400.63x = 382,815.63 × 150,078.95
  4. Step 4: Simplify right side
    277,400.63x = 57,452,568,751.03
  5. Step 5: Solve for x
    x = 57,452,568,751.03/277,400.63
  6. Step 6: Final answer
    x = 207,110.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.