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Finding the Fourth Proportional to 105,026.62, 144,930.96 and 59,698.30

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Solution

The fourth proportional to 105,026.62, 144,930.96 and 59,698.30 is: 82,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,026.62 : 144,930.96 = 59,698.30 : x
  2. Step 2: Convert to fraction form
    105,026.62/144,930.96 = 59,698.30/x
  3. Step 3: Cross multiply
    105,026.62x = 144,930.96 × 59,698.30
  4. Step 4: Simplify right side
    105,026.62x = 8,652,131,929.37
  5. Step 5: Solve for x
    x = 8,652,131,929.37/105,026.62
  6. Step 6: Final answer
    x = 82,380.37

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