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Finding the Fourth Proportional to 201,107.82, 277,529.35 and 111,683.82

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Solution

The fourth proportional to 201,107.82, 277,529.35 and 111,683.82 is: 154,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.82 : 277,529.35 = 111,683.82 : x
  2. Step 2: Convert to fraction form
    201,107.82/277,529.35 = 111,683.82/x
  3. Step 3: Cross multiply
    201,107.82x = 277,529.35 × 111,683.82
  4. Step 4: Simplify right side
    201,107.82x = 30,995,537,970.12
  5. Step 5: Solve for x
    x = 30,995,537,970.12/201,107.82
  6. Step 6: Final answer
    x = 154,123.98

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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.