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Finding the Fourth Proportional to 277,847.84, 416,771.76 and 100,354.16

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Solution

The fourth proportional to 277,847.84, 416,771.76 and 100,354.16 is: 150,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,847.84 : 416,771.76 = 100,354.16 : x
  2. Step 2: Convert to fraction form
    277,847.84/416,771.76 = 100,354.16/x
  3. Step 3: Cross multiply
    277,847.84x = 416,771.76 × 100,354.16
  4. Step 4: Simplify right side
    277,847.84x = 41,824,779,886.52
  5. Step 5: Solve for x
    x = 41,824,779,886.52/277,847.84
  6. Step 6: Final answer
    x = 150,531.24

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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.