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Finding the Fourth Proportional to 189,622.30, 284,381.61 and 71,284.54

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Solution

The fourth proportional to 189,622.30, 284,381.61 and 71,284.54 is: 106,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,622.30 : 284,381.61 = 71,284.54 : x
  2. Step 2: Convert to fraction form
    189,622.30/284,381.61 = 71,284.54/x
  3. Step 3: Cross multiply
    189,622.30x = 284,381.61 × 71,284.54
  4. Step 4: Simplify right side
    189,622.30x = 20,272,012,253.31
  5. Step 5: Solve for x
    x = 20,272,012,253.31/189,622.30
  6. Step 6: Final answer
    x = 106,907.32

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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.