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Finding the Fourth Proportional to 200,740.14, 277,021.38 and 111,316.14

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Solution

The fourth proportional to 200,740.14, 277,021.38 and 111,316.14 is: 153,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.14 : 277,021.38 = 111,316.14 : x
  2. Step 2: Convert to fraction form
    200,740.14/277,021.38 = 111,316.14/x
  3. Step 3: Cross multiply
    200,740.14x = 277,021.38 × 111,316.14
  4. Step 4: Simplify right side
    200,740.14x = 30,836,950,719.07
  5. Step 5: Solve for x
    x = 30,836,950,719.07/200,740.14
  6. Step 6: Final answer
    x = 153,616.27

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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.