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Finding the Fourth Proportional to 200,965.90, 277,331.80 and 110,323.38

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Solution

The fourth proportional to 200,965.90, 277,331.80 and 110,323.38 is: 152,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,965.90 : 277,331.80 = 110,323.38 : x
  2. Step 2: Convert to fraction form
    200,965.90/277,331.80 = 110,323.38/x
  3. Step 3: Cross multiply
    200,965.90x = 277,331.80 × 110,323.38
  4. Step 4: Simplify right side
    200,965.90x = 30,596,181,557.48
  5. Step 5: Solve for x
    x = 30,596,181,557.48/200,965.90
  6. Step 6: Final answer
    x = 152,245.64

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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.