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Finding the Fourth Proportional to 190,596, 263,023.71 and 105,713.28

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Solution

The fourth proportional to 190,596, 263,023.71 and 105,713.28 is: 145,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,596 : 263,023.71 = 105,713.28 : x
  2. Step 2: Convert to fraction form
    190,596/263,023.71 = 105,713.28/x
  3. Step 3: Cross multiply
    190,596x = 263,023.71 × 105,713.28
  4. Step 4: Simplify right side
    190,596x = 27,805,099,101.87
  5. Step 5: Solve for x
    x = 27,805,099,101.87/190,596
  6. Step 6: Final answer
    x = 145,885.01

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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.