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Finding the Fourth Proportional to 200,444.46, 276,617.82 and 114,401.71

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Solution

The fourth proportional to 200,444.46, 276,617.82 and 114,401.71 is: 157,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,444.46 : 276,617.82 = 114,401.71 : x
  2. Step 2: Convert to fraction form
    200,444.46/276,617.82 = 114,401.71/x
  3. Step 3: Cross multiply
    200,444.46x = 276,617.82 × 114,401.71
  4. Step 4: Simplify right side
    200,444.46x = 31,645,551,624.47
  5. Step 5: Solve for x
    x = 31,645,551,624.47/200,444.46
  6. Step 6: Final answer
    x = 157,876.91

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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.