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Finding the Fourth Proportional to 131,134.44, 180,994.14 and 83,378.46

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Solution

The fourth proportional to 131,134.44, 180,994.14 and 83,378.46 is: 115,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,134.44 : 180,994.14 = 83,378.46 : x
  2. Step 2: Convert to fraction form
    131,134.44/180,994.14 = 83,378.46/x
  3. Step 3: Cross multiply
    131,134.44x = 180,994.14 × 83,378.46
  4. Step 4: Simplify right side
    131,134.44x = 15,091,012,662.22
  5. Step 5: Solve for x
    x = 15,091,012,662.22/131,134.44
  6. Step 6: Final answer
    x = 115,080.47

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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.