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Finding the Fourth Proportional to 206,994.84, 310,709.40 and 183,453

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Solution

The fourth proportional to 206,994.84, 310,709.40 and 183,453 is: 275,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,994.84 : 310,709.40 = 183,453 : x
  2. Step 2: Convert to fraction form
    206,994.84/310,709.40 = 183,453/x
  3. Step 3: Cross multiply
    206,994.84x = 310,709.40 × 183,453
  4. Step 4: Simplify right side
    206,994.84x = 57,000,571,558.20
  5. Step 5: Solve for x
    x = 57,000,571,558.20/206,994.84
  6. Step 6: Final answer
    x = 275,371.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.