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Finding the Fourth Proportional to 189,003.84, 283,363.23 and 114,106.20

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Solution

The fourth proportional to 189,003.84, 283,363.23 and 114,106.20 is: 171,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,003.84 : 283,363.23 = 114,106.20 : x
  2. Step 2: Convert to fraction form
    189,003.84/283,363.23 = 114,106.20/x
  3. Step 3: Cross multiply
    189,003.84x = 283,363.23 × 114,106.20
  4. Step 4: Simplify right side
    189,003.84x = 32,333,501,395.03
  5. Step 5: Solve for x
    x = 32,333,501,395.03/189,003.84
  6. Step 6: Final answer
    x = 171,073.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.