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Finding the Fourth Proportional to 190,804.58, 263,297.13 and 105,914.96

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Solution

The fourth proportional to 190,804.58, 263,297.13 and 105,914.96 is: 146,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,804.58 : 263,297.13 = 105,914.96 : x
  2. Step 2: Convert to fraction form
    190,804.58/263,297.13 = 105,914.96/x
  3. Step 3: Cross multiply
    190,804.58x = 263,297.13 × 105,914.96
  4. Step 4: Simplify right side
    190,804.58x = 27,887,104,462.49
  5. Step 5: Solve for x
    x = 27,887,104,462.49/190,804.58
  6. Step 6: Final answer
    x = 146,155.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.