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Finding the Fourth Proportional to 200,730.31, 277,020.09 and 115,852.84

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Solution

The fourth proportional to 200,730.31, 277,020.09 and 115,852.84 is: 159,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.31 : 277,020.09 = 115,852.84 : x
  2. Step 2: Convert to fraction form
    200,730.31/277,020.09 = 115,852.84/x
  3. Step 3: Cross multiply
    200,730.31x = 277,020.09 × 115,852.84
  4. Step 4: Simplify right side
    200,730.31x = 32,093,564,163.56
  5. Step 5: Solve for x
    x = 32,093,564,163.56/200,730.31
  6. Step 6: Final answer
    x = 159,884.00

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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.