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Finding the Fourth Proportional to 189,024.13, 283,588.74 and 82,417.40

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Solution

The fourth proportional to 189,024.13, 283,588.74 and 82,417.40 is: 123,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,024.13 : 283,588.74 = 82,417.40 : x
  2. Step 2: Convert to fraction form
    189,024.13/283,588.74 = 82,417.40/x
  3. Step 3: Cross multiply
    189,024.13x = 283,588.74 × 82,417.40
  4. Step 4: Simplify right side
    189,024.13x = 23,372,646,620.08
  5. Step 5: Solve for x
    x = 23,372,646,620.08/189,024.13
  6. Step 6: Final answer
    x = 123,649.01

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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.