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Finding the Fourth Proportional to 265,094.40, 365,819.32 and 144,236.16

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Solution

The fourth proportional to 265,094.40, 365,819.32 and 144,236.16 is: 199,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,094.40 : 365,819.32 = 144,236.16 : x
  2. Step 2: Convert to fraction form
    265,094.40/365,819.32 = 144,236.16/x
  3. Step 3: Cross multiply
    265,094.40x = 365,819.32 × 144,236.16
  4. Step 4: Simplify right side
    265,094.40x = 52,764,374,150.91
  5. Step 5: Solve for x
    x = 52,764,374,150.91/265,094.40
  6. Step 6: Final answer
    x = 199,039.94

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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.