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Finding the Fourth Proportional to 200,854.84, 277,204.28 and 115,971.72

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Solution

The fourth proportional to 200,854.84, 277,204.28 and 115,971.72 is: 160,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,854.84 : 277,204.28 = 115,971.72 : x
  2. Step 2: Convert to fraction form
    200,854.84/277,204.28 = 115,971.72/x
  3. Step 3: Cross multiply
    200,854.84x = 277,204.28 × 115,971.72
  4. Step 4: Simplify right side
    200,854.84x = 32,147,857,142.96
  5. Step 5: Solve for x
    x = 32,147,857,142.96/200,854.84
  6. Step 6: Final answer
    x = 160,055.18

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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.