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Finding the Fourth Proportional to 142,296.44, 213,506.58 and 67,469

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Solution

The fourth proportional to 142,296.44, 213,506.58 and 67,469 is: 101,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,296.44 : 213,506.58 = 67,469 : x
  2. Step 2: Convert to fraction form
    142,296.44/213,506.58 = 67,469/x
  3. Step 3: Cross multiply
    142,296.44x = 213,506.58 × 67,469
  4. Step 4: Simplify right side
    142,296.44x = 14,405,075,446.02
  5. Step 5: Solve for x
    x = 14,405,075,446.02/142,296.44
  6. Step 6: Final answer
    x = 101,232.86

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1.5x scale

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.