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Finding the Fourth Proportional to 104,906, 144,771.72 and 60,194

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Solution

The fourth proportional to 104,906, 144,771.72 and 60,194 is: 83,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906 : 144,771.72 = 60,194 : x
  2. Step 2: Convert to fraction form
    104,906/144,771.72 = 60,194/x
  3. Step 3: Cross multiply
    104,906x = 144,771.72 × 60,194
  4. Step 4: Simplify right side
    104,906x = 8,714,388,913.68
  5. Step 5: Solve for x
    x = 8,714,388,913.68/104,906
  6. Step 6: Final answer
    x = 83,068.55

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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.