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Finding the Fourth Proportional to 277,631.70, 416,447.55 and 100,166.10

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Solution

The fourth proportional to 277,631.70, 416,447.55 and 100,166.10 is: 150,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,631.70 : 416,447.55 = 100,166.10 : x
  2. Step 2: Convert to fraction form
    277,631.70/416,447.55 = 100,166.10/x
  3. Step 3: Cross multiply
    277,631.70x = 416,447.55 × 100,166.10
  4. Step 4: Simplify right side
    277,631.70x = 41,713,926,938.06
  5. Step 5: Solve for x
    x = 41,713,926,938.06/277,631.70
  6. Step 6: Final answer
    x = 150,249.15

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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.