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Finding the Fourth Proportional to 265,125.83, 397,453.01 and 96,614.46

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Solution

The fourth proportional to 265,125.83, 397,453.01 and 96,614.46 is: 144,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,125.83 : 397,453.01 = 96,614.46 : x
  2. Step 2: Convert to fraction form
    265,125.83/397,453.01 = 96,614.46/x
  3. Step 3: Cross multiply
    265,125.83x = 397,453.01 × 96,614.46
  4. Step 4: Simplify right side
    265,125.83x = 38,399,707,453.45
  5. Step 5: Solve for x
    x = 38,399,707,453.45/265,125.83
  6. Step 6: Final answer
    x = 144,835.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.