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Finding the Fourth Proportional to 189,008.56, 283,515 and 80,923.40

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Solution

The fourth proportional to 189,008.56, 283,515 and 80,923.40 is: 121,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008.56 : 283,515 = 80,923.40 : x
  2. Step 2: Convert to fraction form
    189,008.56/283,515 = 80,923.40/x
  3. Step 3: Cross multiply
    189,008.56x = 283,515 × 80,923.40
  4. Step 4: Simplify right side
    189,008.56x = 22,942,997,751
  5. Step 5: Solve for x
    x = 22,942,997,751/189,008.56
  6. Step 6: Final answer
    x = 121,386.02

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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.