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Finding the Fourth Proportional to 277,718.14, 416,490.90 and 100,202.05

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Solution

The fourth proportional to 277,718.14, 416,490.90 and 100,202.05 is: 150,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,718.14 : 416,490.90 = 100,202.05 : x
  2. Step 2: Convert to fraction form
    277,718.14/416,490.90 = 100,202.05/x
  3. Step 3: Cross multiply
    277,718.14x = 416,490.90 × 100,202.05
  4. Step 4: Simplify right side
    277,718.14x = 41,733,241,986.35
  5. Step 5: Solve for x
    x = 41,733,241,986.35/277,718.14
  6. Step 6: Final answer
    x = 150,271.93

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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.