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Finding the Fourth Proportional to 200,693.49, 276,965.49 and 114,666.63

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Solution

The fourth proportional to 200,693.49, 276,965.49 and 114,666.63 is: 158,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,693.49 : 276,965.49 = 114,666.63 : x
  2. Step 2: Convert to fraction form
    200,693.49/276,965.49 = 114,666.63/x
  3. Step 3: Cross multiply
    200,693.49x = 276,965.49 × 114,666.63
  4. Step 4: Simplify right side
    200,693.49x = 31,758,699,364.60
  5. Step 5: Solve for x
    x = 31,758,699,364.60/200,693.49
  6. Step 6: Final answer
    x = 158,244.79

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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.