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Finding the Fourth Proportional to 183,094, 274,642.68 and 72,286

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Solution

The fourth proportional to 183,094, 274,642.68 and 72,286 is: 108,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,094 : 274,642.68 = 72,286 : x
  2. Step 2: Convert to fraction form
    183,094/274,642.68 = 72,286/x
  3. Step 3: Cross multiply
    183,094x = 274,642.68 × 72,286
  4. Step 4: Simplify right side
    183,094x = 19,852,820,766.48
  5. Step 5: Solve for x
    x = 19,852,820,766.48/183,094
  6. Step 6: Final answer
    x = 108,429.66

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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.