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Finding the Fourth Proportional to 265,057.05, 365,770.40 and 144,195.24

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Solution

The fourth proportional to 265,057.05, 365,770.40 and 144,195.24 is: 198,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,057.05 : 365,770.40 = 144,195.24 : x
  2. Step 2: Convert to fraction form
    265,057.05/365,770.40 = 144,195.24/x
  3. Step 3: Cross multiply
    265,057.05x = 365,770.40 × 144,195.24
  4. Step 4: Simplify right side
    265,057.05x = 52,742,349,891.92
  5. Step 5: Solve for x
    x = 52,742,349,891.92/265,057.05
  6. Step 6: Final answer
    x = 198,984.90

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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.