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Finding the Fourth Proportional to 189,024, 283,588.55 and 82,417.28

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Solution

The fourth proportional to 189,024, 283,588.55 and 82,417.28 is: 123,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,024 : 283,588.55 = 82,417.28 : x
  2. Step 2: Convert to fraction form
    189,024/283,588.55 = 82,417.28/x
  3. Step 3: Cross multiply
    189,024x = 283,588.55 × 82,417.28
  4. Step 4: Simplify right side
    189,024x = 23,372,595,306.16
  5. Step 5: Solve for x
    x = 23,372,595,306.16/189,024
  6. Step 6: Final answer
    x = 123,648.82

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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.