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Finding the Fourth Proportional to 201,083.70, 301,366.35 and 122,114.10

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Solution

The fourth proportional to 201,083.70, 301,366.35 and 122,114.10 is: 183,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083.70 : 301,366.35 = 122,114.10 : x
  2. Step 2: Convert to fraction form
    201,083.70/301,366.35 = 122,114.10/x
  3. Step 3: Cross multiply
    201,083.70x = 301,366.35 × 122,114.10
  4. Step 4: Simplify right side
    201,083.70x = 36,801,080,600.54
  5. Step 5: Solve for x
    x = 36,801,080,600.54/201,083.70
  6. Step 6: Final answer
    x = 183,013.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.