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Finding the Fourth Proportional to 277,451.46, 416,075.13 and 99,910.86

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Solution

The fourth proportional to 277,451.46, 416,075.13 and 99,910.86 is: 149,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,451.46 : 416,075.13 = 99,910.86 : x
  2. Step 2: Convert to fraction form
    277,451.46/416,075.13 = 99,910.86/x
  3. Step 3: Cross multiply
    277,451.46x = 416,075.13 × 99,910.86
  4. Step 4: Simplify right side
    277,451.46x = 41,570,424,062.91
  5. Step 5: Solve for x
    x = 41,570,424,062.91/277,451.46
  6. Step 6: Final answer
    x = 149,829.54

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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.