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Finding the Fourth Proportional to 200,435.68, 276,605.68 and 114,392.94

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Solution

The fourth proportional to 200,435.68, 276,605.68 and 114,392.94 is: 157,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,435.68 : 276,605.68 = 114,392.94 : x
  2. Step 2: Convert to fraction form
    200,435.68/276,605.68 = 114,392.94/x
  3. Step 3: Cross multiply
    200,435.68x = 276,605.68 × 114,392.94
  4. Step 4: Simplify right side
    200,435.68x = 31,641,736,955.90
  5. Step 5: Solve for x
    x = 31,641,736,955.90/200,435.68
  6. Step 6: Final answer
    x = 157,864.79

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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.