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Finding the Fourth Proportional to 185,738.16, 256,311.63 and 105,149.64

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Solution

The fourth proportional to 185,738.16, 256,311.63 and 105,149.64 is: 145,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,738.16 : 256,311.63 = 105,149.64 : x
  2. Step 2: Convert to fraction form
    185,738.16/256,311.63 = 105,149.64/x
  3. Step 3: Cross multiply
    185,738.16x = 256,311.63 × 105,149.64
  4. Step 4: Simplify right side
    185,738.16x = 26,951,075,622.31
  5. Step 5: Solve for x
    x = 26,951,075,622.31/185,738.16
  6. Step 6: Final answer
    x = 145,102.52

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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.