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Finding the Fourth Proportional to 262,149.85, 361,805.63 and 160,234.03

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Solution

The fourth proportional to 262,149.85, 361,805.63 and 160,234.03 is: 221,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,149.85 : 361,805.63 = 160,234.03 : x
  2. Step 2: Convert to fraction form
    262,149.85/361,805.63 = 160,234.03/x
  3. Step 3: Cross multiply
    262,149.85x = 361,805.63 × 160,234.03
  4. Step 4: Simplify right side
    262,149.85x = 57,973,574,171.59
  5. Step 5: Solve for x
    x = 57,973,574,171.59/262,149.85
  6. Step 6: Final answer
    x = 221,146.70

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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.