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Finding the Fourth Proportional to 262,147.85, 361,802.87 and 160,232.03

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Solution

The fourth proportional to 262,147.85, 361,802.87 and 160,232.03 is: 221,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,147.85 : 361,802.87 = 160,232.03 : x
  2. Step 2: Convert to fraction form
    262,147.85/361,802.87 = 160,232.03/x
  3. Step 3: Cross multiply
    262,147.85x = 361,802.87 × 160,232.03
  4. Step 4: Simplify right side
    262,147.85x = 57,972,405,709.75
  5. Step 5: Solve for x
    x = 57,972,405,709.75/262,147.85
  6. Step 6: Final answer
    x = 221,143.93

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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.