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Finding the Fourth Proportional to 265,064.44, 365,783.46 and 144,208.60

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Solution

The fourth proportional to 265,064.44, 365,783.46 and 144,208.60 is: 199,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,064.44 : 365,783.46 = 144,208.60 : x
  2. Step 2: Convert to fraction form
    265,064.44/365,783.46 = 144,208.60/x
  3. Step 3: Cross multiply
    265,064.44x = 365,783.46 × 144,208.60
  4. Step 4: Simplify right side
    265,064.44x = 52,749,120,669.76
  5. Step 5: Solve for x
    x = 52,749,120,669.76/265,064.44
  6. Step 6: Final answer
    x = 199,004.89

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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.