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Finding the Fourth Proportional to 190,644, 285,766.44 and 64,240.56

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Solution

The fourth proportional to 190,644, 285,766.44 and 64,240.56 is: 96,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,644 : 285,766.44 = 64,240.56 : x
  2. Step 2: Convert to fraction form
    190,644/285,766.44 = 64,240.56/x
  3. Step 3: Cross multiply
    190,644x = 285,766.44 × 64,240.56
  4. Step 4: Simplify right side
    190,644x = 18,357,796,134.81
  5. Step 5: Solve for x
    x = 18,357,796,134.81/190,644
  6. Step 6: Final answer
    x = 96,293.60

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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.