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Finding the Fourth Proportional to 200,170, 276,243.24 and 110,746

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Solution

The fourth proportional to 200,170, 276,243.24 and 110,746 is: 152,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,170 : 276,243.24 = 110,746 : x
  2. Step 2: Convert to fraction form
    200,170/276,243.24 = 110,746/x
  3. Step 3: Cross multiply
    200,170x = 276,243.24 × 110,746
  4. Step 4: Simplify right side
    200,170x = 30,592,833,857.04
  5. Step 5: Solve for x
    x = 30,592,833,857.04/200,170
  6. Step 6: Final answer
    x = 152,834.26

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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.