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Finding the Fourth Proportional to 200,116.59, 276,175.89 and 114,077.63

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Solution

The fourth proportional to 200,116.59, 276,175.89 and 114,077.63 is: 157,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,116.59 : 276,175.89 = 114,077.63 : x
  2. Step 2: Convert to fraction form
    200,116.59/276,175.89 = 114,077.63/x
  3. Step 3: Cross multiply
    200,116.59x = 276,175.89 × 114,077.63
  4. Step 4: Simplify right side
    200,116.59x = 31,505,489,613.46
  5. Step 5: Solve for x
    x = 31,505,489,613.46/200,116.59
  6. Step 6: Final answer
    x = 157,435.67

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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.