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Finding the Fourth Proportional to 200,960.84, 277,308.56 and 110,316.48

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Solution

The fourth proportional to 200,960.84, 277,308.56 and 110,316.48 is: 152,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,960.84 : 277,308.56 = 110,316.48 : x
  2. Step 2: Convert to fraction form
    200,960.84/277,308.56 = 110,316.48/x
  3. Step 3: Cross multiply
    200,960.84x = 277,308.56 × 110,316.48
  4. Step 4: Simplify right side
    200,960.84x = 30,591,704,213.07
  5. Step 5: Solve for x
    x = 30,591,704,213.07/200,960.84
  6. Step 6: Final answer
    x = 152,227.19

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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.