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Finding the Fourth Proportional to 201,228.68, 277,693.44 and 116,343.92

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Solution

The fourth proportional to 201,228.68, 277,693.44 and 116,343.92 is: 160,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,228.68 : 277,693.44 = 116,343.92 : x
  2. Step 2: Convert to fraction form
    201,228.68/277,693.44 = 116,343.92/x
  3. Step 3: Cross multiply
    201,228.68x = 277,693.44 × 116,343.92
  4. Step 4: Simplify right side
    201,228.68x = 32,307,943,367.88
  5. Step 5: Solve for x
    x = 32,307,943,367.88/201,228.68
  6. Step 6: Final answer
    x = 160,553.37

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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.