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Finding the Fourth Proportional to 190,578, 262,997.68 and 105,712.72

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Solution

The fourth proportional to 190,578, 262,997.68 and 105,712.72 is: 145,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,578 : 262,997.68 = 105,712.72 : x
  2. Step 2: Convert to fraction form
    190,578/262,997.68 = 105,712.72/x
  3. Step 3: Cross multiply
    190,578x = 262,997.68 × 105,712.72
  4. Step 4: Simplify right side
    190,578x = 27,802,200,106.49
  5. Step 5: Solve for x
    x = 27,802,200,106.49/190,578
  6. Step 6: Final answer
    x = 145,883.58

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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.