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Finding the Fourth Proportional to 277,823.45, 416,732.13 and 67,461.59

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Solution

The fourth proportional to 277,823.45, 416,732.13 and 67,461.59 is: 101,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,823.45 : 416,732.13 = 67,461.59 : x
  2. Step 2: Convert to fraction form
    277,823.45/416,732.13 = 67,461.59/x
  3. Step 3: Cross multiply
    277,823.45x = 416,732.13 × 67,461.59
  4. Step 4: Simplify right side
    277,823.45x = 28,113,410,010.23
  5. Step 5: Solve for x
    x = 28,113,410,010.23/277,823.45
  6. Step 6: Final answer
    x = 101,191.64

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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.