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Finding the Fourth Proportional to 279,816.42, 419,848.53 and 146,665.02

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Solution

The fourth proportional to 279,816.42, 419,848.53 and 146,665.02 is: 220,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,816.42 : 419,848.53 = 146,665.02 : x
  2. Step 2: Convert to fraction form
    279,816.42/419,848.53 = 146,665.02/x
  3. Step 3: Cross multiply
    279,816.42x = 419,848.53 × 146,665.02
  4. Step 4: Simplify right side
    279,816.42x = 61,577,093,049.42
  5. Step 5: Solve for x
    x = 61,577,093,049.42/279,816.42
  6. Step 6: Final answer
    x = 220,062.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.