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Finding the Fourth Proportional to 209,801.23, 314,976.24 and 124,567.67

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Solution

The fourth proportional to 209,801.23, 314,976.24 and 124,567.67 is: 187,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,801.23 : 314,976.24 = 124,567.67 : x
  2. Step 2: Convert to fraction form
    209,801.23/314,976.24 = 124,567.67/x
  3. Step 3: Cross multiply
    209,801.23x = 314,976.24 × 124,567.67
  4. Step 4: Simplify right side
    209,801.23x = 39,235,857,109.60
  5. Step 5: Solve for x
    x = 39,235,857,109.60/209,801.23
  6. Step 6: Final answer
    x = 187,014.43

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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.