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Finding the Fourth Proportional to 201,237.77, 301,939.25 and 106,442.61

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Solution

The fourth proportional to 201,237.77, 301,939.25 and 106,442.61 is: 159,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,237.77 : 301,939.25 = 106,442.61 : x
  2. Step 2: Convert to fraction form
    201,237.77/301,939.25 = 106,442.61/x
  3. Step 3: Cross multiply
    201,237.77x = 301,939.25 × 106,442.61
  4. Step 4: Simplify right side
    201,237.77x = 32,139,200,166.96
  5. Step 5: Solve for x
    x = 32,139,200,166.96/201,237.77
  6. Step 6: Final answer
    x = 159,707.60

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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.