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Finding the Fourth Proportional to 190,383.96, 262,731.44 and 105,502.44

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Solution

The fourth proportional to 190,383.96, 262,731.44 and 105,502.44 is: 145,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,383.96 : 262,731.44 = 105,502.44 : x
  2. Step 2: Convert to fraction form
    190,383.96/262,731.44 = 105,502.44/x
  3. Step 3: Cross multiply
    190,383.96x = 262,731.44 × 105,502.44
  4. Step 4: Simplify right side
    190,383.96x = 27,718,807,457.20
  5. Step 5: Solve for x
    x = 27,718,807,457.20/190,383.96
  6. Step 6: Final answer
    x = 145,594.24

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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.