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Finding the Fourth Proportional to 262,563.70, 393,327.15 and 157,069.30

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Solution

The fourth proportional to 262,563.70, 393,327.15 and 157,069.30 is: 235,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,563.70 : 393,327.15 = 157,069.30 : x
  2. Step 2: Convert to fraction form
    262,563.70/393,327.15 = 157,069.30/x
  3. Step 3: Cross multiply
    262,563.70x = 393,327.15 × 157,069.30
  4. Step 4: Simplify right side
    262,563.70x = 61,779,620,121.50
  5. Step 5: Solve for x
    x = 61,779,620,121.50/262,563.70
  6. Step 6: Final answer
    x = 235,293.84

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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.