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Finding the Fourth Proportional to 190,310.52, 262,609.38 and 105,411.72

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Solution

The fourth proportional to 190,310.52, 262,609.38 and 105,411.72 is: 145,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,310.52 : 262,609.38 = 105,411.72 : x
  2. Step 2: Convert to fraction form
    190,310.52/262,609.38 = 105,411.72/x
  3. Step 3: Cross multiply
    190,310.52x = 262,609.38 × 105,411.72
  4. Step 4: Simplify right side
    190,310.52x = 27,682,106,433.93
  5. Step 5: Solve for x
    x = 27,682,106,433.93/190,310.52
  6. Step 6: Final answer
    x = 145,457.57

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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.