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Finding the Fourth Proportional to 201,005.76, 277,377.12 and 111,576

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Solution

The fourth proportional to 201,005.76, 277,377.12 and 111,576 is: 153,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,005.76 : 277,377.12 = 111,576 : x
  2. Step 2: Convert to fraction form
    201,005.76/277,377.12 = 111,576/x
  3. Step 3: Cross multiply
    201,005.76x = 277,377.12 × 111,576
  4. Step 4: Simplify right side
    201,005.76x = 30,948,629,541.12
  5. Step 5: Solve for x
    x = 30,948,629,541.12/201,005.76
  6. Step 6: Final answer
    x = 153,968.87

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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.