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Finding the Fourth Proportional to 265,063.44, 365,782.08 and 144,207.60

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Solution

The fourth proportional to 265,063.44, 365,782.08 and 144,207.60 is: 199,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,063.44 : 365,782.08 = 144,207.60 : x
  2. Step 2: Convert to fraction form
    265,063.44/365,782.08 = 144,207.60/x
  3. Step 3: Cross multiply
    265,063.44x = 365,782.08 × 144,207.60
  4. Step 4: Simplify right side
    265,063.44x = 52,748,555,879.81
  5. Step 5: Solve for x
    x = 52,748,555,879.81/265,063.44
  6. Step 6: Final answer
    x = 199,003.51

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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.