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Finding the Fourth Proportional to 104,249.84, 143,861.24 and 61,783.20

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Solution

The fourth proportional to 104,249.84, 143,861.24 and 61,783.20 is: 85,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,249.84 : 143,861.24 = 61,783.20 : x
  2. Step 2: Convert to fraction form
    104,249.84/143,861.24 = 61,783.20/x
  3. Step 3: Cross multiply
    104,249.84x = 143,861.24 × 61,783.20
  4. Step 4: Simplify right side
    104,249.84x = 8,888,207,763.17
  5. Step 5: Solve for x
    x = 8,888,207,763.17/104,249.84
  6. Step 6: Final answer
    x = 85,258.72

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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.