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Finding the Fourth Proportional to 200,182.32, 276,351.62 and 115,282.98

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Solution

The fourth proportional to 200,182.32, 276,351.62 and 115,282.98 is: 159,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,182.32 : 276,351.62 = 115,282.98 : x
  2. Step 2: Convert to fraction form
    200,182.32/276,351.62 = 115,282.98/x
  3. Step 3: Cross multiply
    200,182.32x = 276,351.62 × 115,282.98
  4. Step 4: Simplify right side
    200,182.32x = 31,858,637,705.01
  5. Step 5: Solve for x
    x = 31,858,637,705.01/200,182.32
  6. Step 6: Final answer
    x = 159,148.11

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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.