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Finding the Fourth Proportional to 190,695, 263,159.10 and 105,825.72

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Solution

The fourth proportional to 190,695, 263,159.10 and 105,825.72 is: 146,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,695 : 263,159.10 = 105,825.72 : x
  2. Step 2: Convert to fraction form
    190,695/263,159.10 = 105,825.72/x
  3. Step 3: Cross multiply
    190,695x = 263,159.10 × 105,825.72
  4. Step 4: Simplify right side
    190,695x = 27,849,001,232.05
  5. Step 5: Solve for x
    x = 27,849,001,232.05/190,695
  6. Step 6: Final answer
    x = 146,039.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.