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Finding the Fourth Proportional to 102,922.30, 154,310.55 and 46,789.30

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Solution

The fourth proportional to 102,922.30, 154,310.55 and 46,789.30 is: 70,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,922.30 : 154,310.55 = 46,789.30 : x
  2. Step 2: Convert to fraction form
    102,922.30/154,310.55 = 46,789.30/x
  3. Step 3: Cross multiply
    102,922.30x = 154,310.55 × 46,789.30
  4. Step 4: Simplify right side
    102,922.30x = 7,220,082,617.12
  5. Step 5: Solve for x
    x = 7,220,082,617.12/102,922.30
  6. Step 6: Final answer
    x = 70,150.81

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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.