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Finding the Fourth Proportional to 265,099.63, 365,826.54 and 144,241.41

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Solution

The fourth proportional to 265,099.63, 365,826.54 and 144,241.41 is: 199,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,099.63 : 365,826.54 = 144,241.41 : x
  2. Step 2: Convert to fraction form
    265,099.63/365,826.54 = 144,241.41/x
  3. Step 3: Cross multiply
    265,099.63x = 365,826.54 × 144,241.41
  4. Step 4: Simplify right side
    265,099.63x = 52,767,335,945.02
  5. Step 5: Solve for x
    x = 52,767,335,945.02/265,099.63
  6. Step 6: Final answer
    x = 199,047.19

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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.