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Finding the Fourth Proportional to 200,725.82, 277,013.88 and 115,848.34

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Solution

The fourth proportional to 200,725.82, 277,013.88 and 115,848.34 is: 159,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.82 : 277,013.88 = 115,848.34 : x
  2. Step 2: Convert to fraction form
    200,725.82/277,013.88 = 115,848.34/x
  3. Step 3: Cross multiply
    200,725.82x = 277,013.88 × 115,848.34
  4. Step 4: Simplify right side
    200,725.82x = 32,091,598,154.96
  5. Step 5: Solve for x
    x = 32,091,598,154.96/200,725.82
  6. Step 6: Final answer
    x = 159,877.78

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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.