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Finding the Fourth Proportional to 265,103.32, 365,844.16 and 144,245.50

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Solution

The fourth proportional to 265,103.32, 365,844.16 and 144,245.50 is: 199,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,103.32 : 365,844.16 = 144,245.50 : x
  2. Step 2: Convert to fraction form
    265,103.32/365,844.16 = 144,245.50/x
  3. Step 3: Cross multiply
    265,103.32x = 365,844.16 × 144,245.50
  4. Step 4: Simplify right side
    265,103.32x = 52,771,373,781.28
  5. Step 5: Solve for x
    x = 52,771,373,781.28/265,103.32
  6. Step 6: Final answer
    x = 199,059.65

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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.