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Finding the Fourth Proportional to 199,780, 275,696.40 and 110,356

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Solution

The fourth proportional to 199,780, 275,696.40 and 110,356 is: 152,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,780 : 275,696.40 = 110,356 : x
  2. Step 2: Convert to fraction form
    199,780/275,696.40 = 110,356/x
  3. Step 3: Cross multiply
    199,780x = 275,696.40 × 110,356
  4. Step 4: Simplify right side
    199,780x = 30,424,751,918.40
  5. Step 5: Solve for x
    x = 30,424,751,918.40/199,780
  6. Step 6: Final answer
    x = 152,291.28

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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.