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Finding the Fourth Proportional to 262,271.34, 393,205.41 and 135,775.98

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Solution

The fourth proportional to 262,271.34, 393,205.41 and 135,775.98 is: 203,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,271.34 : 393,205.41 = 135,775.98 : x
  2. Step 2: Convert to fraction form
    262,271.34/393,205.41 = 135,775.98/x
  3. Step 3: Cross multiply
    262,271.34x = 393,205.41 × 135,775.98
  4. Step 4: Simplify right side
    262,271.34x = 53,387,849,884.05
  5. Step 5: Solve for x
    x = 53,387,849,884.05/262,271.34
  6. Step 6: Final answer
    x = 203,559.60

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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.