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Finding the Fourth Proportional to 200,722.31, 277,009.05 and 115,844.84

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Solution

The fourth proportional to 200,722.31, 277,009.05 and 115,844.84 is: 159,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.31 : 277,009.05 = 115,844.84 : x
  2. Step 2: Convert to fraction form
    200,722.31/277,009.05 = 115,844.84/x
  3. Step 3: Cross multiply
    200,722.31x = 277,009.05 × 115,844.84
  4. Step 4: Simplify right side
    200,722.31x = 32,090,069,075.80
  5. Step 5: Solve for x
    x = 32,090,069,075.80/200,722.31
  6. Step 6: Final answer
    x = 159,872.96

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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.