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Finding the Fourth Proportional to 190,294, 262,605.72 and 105,416.56

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Solution

The fourth proportional to 190,294, 262,605.72 and 105,416.56 is: 145,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,294 : 262,605.72 = 105,416.56 : x
  2. Step 2: Convert to fraction form
    190,294/262,605.72 = 105,416.56/x
  3. Step 3: Cross multiply
    190,294x = 262,605.72 × 105,416.56
  4. Step 4: Simplify right side
    190,294x = 27,682,991,638.72
  5. Step 5: Solve for x
    x = 27,682,991,638.72/190,294
  6. Step 6: Final answer
    x = 145,474.85

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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.