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Finding the Fourth Proportional to 119,584.66, 164,994 and 83,245.39

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Solution

The fourth proportional to 119,584.66, 164,994 and 83,245.39 is: 114,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,584.66 : 164,994 = 83,245.39 : x
  2. Step 2: Convert to fraction form
    119,584.66/164,994 = 83,245.39/x
  3. Step 3: Cross multiply
    119,584.66x = 164,994 × 83,245.39
  4. Step 4: Simplify right side
    119,584.66x = 13,734,989,877.66
  5. Step 5: Solve for x
    x = 13,734,989,877.66/119,584.66
  6. Step 6: Final answer
    x = 114,855.78

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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.