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Finding the Fourth Proportional to 190,591, 263,017.64 and 105,713.52

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Solution

The fourth proportional to 190,591, 263,017.64 and 105,713.52 is: 145,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,591 : 263,017.64 = 105,713.52 : x
  2. Step 2: Convert to fraction form
    190,591/263,017.64 = 105,713.52/x
  3. Step 3: Cross multiply
    190,591x = 263,017.64 × 105,713.52
  4. Step 4: Simplify right side
    190,591x = 27,804,520,546.49
  5. Step 5: Solve for x
    x = 27,804,520,546.49/190,591
  6. Step 6: Final answer
    x = 145,885.80

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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.