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Finding the Fourth Proportional to 536,286.10, 804,537.15 and 157,206.10

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Solution

The fourth proportional to 536,286.10, 804,537.15 and 157,206.10 is: 235,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,286.10 : 804,537.15 = 157,206.10 : x
  2. Step 2: Convert to fraction form
    536,286.10/804,537.15 = 157,206.10/x
  3. Step 3: Cross multiply
    536,286.10x = 804,537.15 × 157,206.10
  4. Step 4: Simplify right side
    536,286.10x = 126,478,147,656.62
  5. Step 5: Solve for x
    x = 126,478,147,656.62/536,286.10
  6. Step 6: Final answer
    x = 235,840.81

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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.