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Finding the Fourth Proportional to 201,213.14, 277,674.06 and 110,574.95

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Solution

The fourth proportional to 201,213.14, 277,674.06 and 110,574.95 is: 152,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.14 : 277,674.06 = 110,574.95 : x
  2. Step 2: Convert to fraction form
    201,213.14/277,674.06 = 110,574.95/x
  3. Step 3: Cross multiply
    201,213.14x = 277,674.06 × 110,574.95
  4. Step 4: Simplify right side
    201,213.14x = 30,703,795,300.80
  5. Step 5: Solve for x
    x = 30,703,795,300.80/201,213.14
  6. Step 6: Final answer
    x = 152,593.39

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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.