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Finding the Fourth Proportional to 200,420.66, 276,503.56 and 114,384.42

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Solution

The fourth proportional to 200,420.66, 276,503.56 and 114,384.42 is: 157,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420.66 : 276,503.56 = 114,384.42 : x
  2. Step 2: Convert to fraction form
    200,420.66/276,503.56 = 114,384.42/x
  3. Step 3: Cross multiply
    200,420.66x = 276,503.56 × 114,384.42
  4. Step 4: Simplify right side
    200,420.66x = 31,627,699,338.54
  5. Step 5: Solve for x
    x = 31,627,699,338.54/200,420.66
  6. Step 6: Final answer
    x = 157,806.58

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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.