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Finding the Fourth Proportional to 104,534.63, 144,226 and 59,205.41

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Solution

The fourth proportional to 104,534.63, 144,226 and 59,205.41 is: 81,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,534.63 : 144,226 = 59,205.41 : x
  2. Step 2: Convert to fraction form
    104,534.63/144,226 = 59,205.41/x
  3. Step 3: Cross multiply
    104,534.63x = 144,226 × 59,205.41
  4. Step 4: Simplify right side
    104,534.63x = 8,538,959,462.66
  5. Step 5: Solve for x
    x = 8,538,959,462.66/104,534.63
  6. Step 6: Final answer
    x = 81,685.46

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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.