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Finding the Fourth Proportional to 262,657.22, 393,354.11 and 149,995.94

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Solution

The fourth proportional to 262,657.22, 393,354.11 and 149,995.94 is: 224,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,657.22 : 393,354.11 = 149,995.94 : x
  2. Step 2: Convert to fraction form
    262,657.22/393,354.11 = 149,995.94/x
  3. Step 3: Cross multiply
    262,657.22x = 393,354.11 × 149,995.94
  4. Step 4: Simplify right side
    262,657.22x = 59,001,517,890.53
  5. Step 5: Solve for x
    x = 59,001,517,890.53/262,657.22
  6. Step 6: Final answer
    x = 224,633.15

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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.