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Finding the Fourth Proportional to 201,255.10, 301,965.24 and 106,459.93

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Solution

The fourth proportional to 201,255.10, 301,965.24 and 106,459.93 is: 159,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,255.10 : 301,965.24 = 106,459.93 : x
  2. Step 2: Convert to fraction form
    201,255.10/301,965.24 = 106,459.93/x
  3. Step 3: Cross multiply
    201,255.10x = 301,965.24 × 106,459.93
  4. Step 4: Simplify right side
    201,255.10x = 32,147,198,312.83
  5. Step 5: Solve for x
    x = 32,147,198,312.83/201,255.10
  6. Step 6: Final answer
    x = 159,733.58

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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.