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Finding the Fourth Proportional to 199,700, 275,586.24 and 110,276

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Solution

The fourth proportional to 199,700, 275,586.24 and 110,276 is: 152,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,700 : 275,586.24 = 110,276 : x
  2. Step 2: Convert to fraction form
    199,700/275,586.24 = 110,276/x
  3. Step 3: Cross multiply
    199,700x = 275,586.24 × 110,276
  4. Step 4: Simplify right side
    199,700x = 30,390,548,202.24
  5. Step 5: Solve for x
    x = 30,390,548,202.24/199,700
  6. Step 6: Final answer
    x = 152,181.01

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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.