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Finding the Fourth Proportional to 200,273, 276,381.06 and 110,849

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Solution

The fourth proportional to 200,273, 276,381.06 and 110,849 is: 152,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,273 : 276,381.06 = 110,849 : x
  2. Step 2: Convert to fraction form
    200,273/276,381.06 = 110,849/x
  3. Step 3: Cross multiply
    200,273x = 276,381.06 × 110,849
  4. Step 4: Simplify right side
    200,273x = 30,636,564,119.94
  5. Step 5: Solve for x
    x = 30,636,564,119.94/200,273
  6. Step 6: Final answer
    x = 152,974.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.