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Finding the Fourth Proportional to 262,495.86, 362,271.50 and 160,589.20

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Solution

The fourth proportional to 262,495.86, 362,271.50 and 160,589.20 is: 221,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,495.86 : 362,271.50 = 160,589.20 : x
  2. Step 2: Convert to fraction form
    262,495.86/362,271.50 = 160,589.20/x
  3. Step 3: Cross multiply
    262,495.86x = 362,271.50 × 160,589.20
  4. Step 4: Simplify right side
    262,495.86x = 58,176,890,367.80
  5. Step 5: Solve for x
    x = 58,176,890,367.80/262,495.86
  6. Step 6: Final answer
    x = 221,629.74

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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.