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Finding the Fourth Proportional to 190,189.12, 262,470 and 114,736

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Solution

The fourth proportional to 190,189.12, 262,470 and 114,736 is: 158,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,189.12 : 262,470 = 114,736 : x
  2. Step 2: Convert to fraction form
    190,189.12/262,470 = 114,736/x
  3. Step 3: Cross multiply
    190,189.12x = 262,470 × 114,736
  4. Step 4: Simplify right side
    190,189.12x = 30,114,757,920
  5. Step 5: Solve for x
    x = 30,114,757,920/190,189.12
  6. Step 6: Final answer
    x = 158,341.12

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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.