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Finding the Fourth Proportional to 200,964.90, 277,330.42 and 110,322.38

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Solution

The fourth proportional to 200,964.90, 277,330.42 and 110,322.38 is: 152,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,964.90 : 277,330.42 = 110,322.38 : x
  2. Step 2: Convert to fraction form
    200,964.90/277,330.42 = 110,322.38/x
  3. Step 3: Cross multiply
    200,964.90x = 277,330.42 × 110,322.38
  4. Step 4: Simplify right side
    200,964.90x = 30,595,751,980.80
  5. Step 5: Solve for x
    x = 30,595,751,980.80/200,964.90
  6. Step 6: Final answer
    x = 152,244.26

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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.