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Finding the Fourth Proportional to 205,626.36, 283,749.48 and 113,741.76

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Solution

The fourth proportional to 205,626.36, 283,749.48 and 113,741.76 is: 156,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,626.36 : 283,749.48 = 113,741.76 : x
  2. Step 2: Convert to fraction form
    205,626.36/283,749.48 = 113,741.76/x
  3. Step 3: Cross multiply
    205,626.36x = 283,749.48 × 113,741.76
  4. Step 4: Simplify right side
    205,626.36x = 32,274,165,254.28
  5. Step 5: Solve for x
    x = 32,274,165,254.28/205,626.36
  6. Step 6: Final answer
    x = 156,955.39

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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.