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Finding the Fourth Proportional to 104,102.67, 143,661.69 and 56,356.41

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Solution

The fourth proportional to 104,102.67, 143,661.69 and 56,356.41 is: 77,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102.67 : 143,661.69 = 56,356.41 : x
  2. Step 2: Convert to fraction form
    104,102.67/143,661.69 = 56,356.41/x
  3. Step 3: Cross multiply
    104,102.67x = 143,661.69 × 56,356.41
  4. Step 4: Simplify right side
    104,102.67x = 8,096,257,102.93
  5. Step 5: Solve for x
    x = 8,096,257,102.93/104,102.67
  6. Step 6: Final answer
    x = 77,771.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.