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Finding the Fourth Proportional to 136,735.63, 205,014.44 and 56,751.57

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Solution

The fourth proportional to 136,735.63, 205,014.44 and 56,751.57 is: 85,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,735.63 : 205,014.44 = 56,751.57 : x
  2. Step 2: Convert to fraction form
    136,735.63/205,014.44 = 56,751.57/x
  3. Step 3: Cross multiply
    136,735.63x = 205,014.44 × 56,751.57
  4. Step 4: Simplify right side
    136,735.63x = 11,634,891,484.55
  5. Step 5: Solve for x
    x = 11,634,891,484.55/136,735.63
  6. Step 6: Final answer
    x = 85,090.42

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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.