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Finding the Fourth Proportional to 200,797.95, 277,104.87 and 110,158.56

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Solution

The fourth proportional to 200,797.95, 277,104.87 and 110,158.56 is: 152,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,797.95 : 277,104.87 = 110,158.56 : x
  2. Step 2: Convert to fraction form
    200,797.95/277,104.87 = 110,158.56/x
  3. Step 3: Cross multiply
    200,797.95x = 277,104.87 × 110,158.56
  4. Step 4: Simplify right side
    200,797.95x = 30,525,473,448.19
  5. Step 5: Solve for x
    x = 30,525,473,448.19/200,797.95
  6. Step 6: Final answer
    x = 152,020.84

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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.