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Finding the Fourth Proportional to 536,507.57, 804,758.14 and 137,147.70

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Solution

The fourth proportional to 536,507.57, 804,758.14 and 137,147.70 is: 205,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,507.57 : 804,758.14 = 137,147.70 : x
  2. Step 2: Convert to fraction form
    536,507.57/804,758.14 = 137,147.70/x
  3. Step 3: Cross multiply
    536,507.57x = 804,758.14 × 137,147.70
  4. Step 4: Simplify right side
    536,507.57x = 110,370,727,271.54
  5. Step 5: Solve for x
    x = 110,370,727,271.54/536,507.57
  6. Step 6: Final answer
    x = 205,720.73

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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.