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Finding the Fourth Proportional to 278,311.32, 384,062.04 and 154,128

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Solution

The fourth proportional to 278,311.32, 384,062.04 and 154,128 is: 212,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,311.32 : 384,062.04 = 154,128 : x
  2. Step 2: Convert to fraction form
    278,311.32/384,062.04 = 154,128/x
  3. Step 3: Cross multiply
    278,311.32x = 384,062.04 × 154,128
  4. Step 4: Simplify right side
    278,311.32x = 59,194,714,101.12
  5. Step 5: Solve for x
    x = 59,194,714,101.12/278,311.32
  6. Step 6: Final answer
    x = 212,692.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.