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Finding the Fourth Proportional to 277,686.12, 416,443.07 and 100,170.07

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Solution

The fourth proportional to 277,686.12, 416,443.07 and 100,170.07 is: 150,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,686.12 : 416,443.07 = 100,170.07 : x
  2. Step 2: Convert to fraction form
    277,686.12/416,443.07 = 100,170.07/x
  3. Step 3: Cross multiply
    277,686.12x = 416,443.07 × 100,170.07
  4. Step 4: Simplify right side
    277,686.12x = 41,715,130,682.23
  5. Step 5: Solve for x
    x = 41,715,130,682.23/277,686.12
  6. Step 6: Final answer
    x = 150,224.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.