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Finding the Fourth Proportional to 190,270, 262,572.60 and 105,392.53

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Solution

The fourth proportional to 190,270, 262,572.60 and 105,392.53 is: 145,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,270 : 262,572.60 = 105,392.53 : x
  2. Step 2: Convert to fraction form
    190,270/262,572.60 = 105,392.53/x
  3. Step 3: Cross multiply
    190,270x = 262,572.60 × 105,392.53
  4. Step 4: Simplify right side
    190,270x = 27,673,190,622.68
  5. Step 5: Solve for x
    x = 27,673,190,622.68/190,270
  6. Step 6: Final answer
    x = 145,441.69

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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.