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Finding the Fourth Proportional to 277,717.68, 416,490.30 and 100,201.50

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Solution

The fourth proportional to 277,717.68, 416,490.30 and 100,201.50 is: 150,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,717.68 : 416,490.30 = 100,201.50 : x
  2. Step 2: Convert to fraction form
    277,717.68/416,490.30 = 100,201.50/x
  3. Step 3: Cross multiply
    277,717.68x = 416,490.30 × 100,201.50
  4. Step 4: Simplify right side
    277,717.68x = 41,732,952,795.45
  5. Step 5: Solve for x
    x = 41,732,952,795.45/277,717.68
  6. Step 6: Final answer
    x = 150,271.14

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1.5x scale

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.