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Finding the Fourth Proportional to 190,651.41, 285,904.28 and 64,257.70

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Solution

The fourth proportional to 190,651.41, 285,904.28 and 64,257.70 is: 96,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,651.41 : 285,904.28 = 64,257.70 : x
  2. Step 2: Convert to fraction form
    190,651.41/285,904.28 = 64,257.70/x
  3. Step 3: Cross multiply
    190,651.41x = 285,904.28 × 64,257.70
  4. Step 4: Simplify right side
    190,651.41x = 18,371,551,452.96
  5. Step 5: Solve for x
    x = 18,371,551,452.96/190,651.41
  6. Step 6: Final answer
    x = 96,362.00

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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.