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Finding the Fourth Proportional to 190,970.44, 285,914.37 and 158,690.32

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Solution

The fourth proportional to 190,970.44, 285,914.37 and 158,690.32 is: 237,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,970.44 : 285,914.37 = 158,690.32 : x
  2. Step 2: Convert to fraction form
    190,970.44/285,914.37 = 158,690.32/x
  3. Step 3: Cross multiply
    190,970.44x = 285,914.37 × 158,690.32
  4. Step 4: Simplify right side
    190,970.44x = 45,371,841,438.33
  5. Step 5: Solve for x
    x = 45,371,841,438.33/190,970.44
  6. Step 6: Final answer
    x = 237,585.68

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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.