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Finding the Fourth Proportional to 209,537.56, 314,390.50 and 95,739.30

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Solution

The fourth proportional to 209,537.56, 314,390.50 and 95,739.30 is: 143,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,537.56 : 314,390.50 = 95,739.30 : x
  2. Step 2: Convert to fraction form
    209,537.56/314,390.50 = 95,739.30/x
  3. Step 3: Cross multiply
    209,537.56x = 314,390.50 × 95,739.30
  4. Step 4: Simplify right side
    209,537.56x = 30,099,526,396.65
  5. Step 5: Solve for x
    x = 30,099,526,396.65/209,537.56
  6. Step 6: Final answer
    x = 143,647.40

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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.