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Finding the Fourth Proportional to 200,437.68, 276,608.44 and 114,394.94

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Solution

The fourth proportional to 200,437.68, 276,608.44 and 114,394.94 is: 157,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,437.68 : 276,608.44 = 114,394.94 : x
  2. Step 2: Convert to fraction form
    200,437.68/276,608.44 = 114,394.94/x
  3. Step 3: Cross multiply
    200,437.68x = 276,608.44 × 114,394.94
  4. Step 4: Simplify right side
    200,437.68x = 31,642,605,897.29
  5. Step 5: Solve for x
    x = 31,642,605,897.29/200,437.68
  6. Step 6: Final answer
    x = 157,867.55

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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.