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Finding the Fourth Proportional to 265,093.62, 365,826.36 and 157,661.30

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Solution

The fourth proportional to 265,093.62, 365,826.36 and 157,661.30 is: 217,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,093.62 : 365,826.36 = 157,661.30 : x
  2. Step 2: Convert to fraction form
    265,093.62/365,826.36 = 157,661.30/x
  3. Step 3: Cross multiply
    265,093.62x = 365,826.36 × 157,661.30
  4. Step 4: Simplify right side
    265,093.62x = 57,676,659,491.87
  5. Step 5: Solve for x
    x = 57,676,659,491.87/265,093.62
  6. Step 6: Final answer
    x = 217,570.91

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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.