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Finding the Fourth Proportional to 104,973.59, 144,819.94 and 61,936

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Solution

The fourth proportional to 104,973.59, 144,819.94 and 61,936 is: 85,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,973.59 : 144,819.94 = 61,936 : x
  2. Step 2: Convert to fraction form
    104,973.59/144,819.94 = 61,936/x
  3. Step 3: Cross multiply
    104,973.59x = 144,819.94 × 61,936
  4. Step 4: Simplify right side
    104,973.59x = 8,969,567,803.84
  5. Step 5: Solve for x
    x = 8,969,567,803.84/104,973.59
  6. Step 6: Final answer
    x = 85,445.95

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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.