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Finding the Fourth Proportional to 337,107.80, 505,588.80 and 147,567.80

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Solution

The fourth proportional to 337,107.80, 505,588.80 and 147,567.80 is: 221,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,107.80 : 505,588.80 = 147,567.80 : x
  2. Step 2: Convert to fraction form
    337,107.80/505,588.80 = 147,567.80/x
  3. Step 3: Cross multiply
    337,107.80x = 505,588.80 × 147,567.80
  4. Step 4: Simplify right side
    337,107.80x = 74,608,626,920.64
  5. Step 5: Solve for x
    x = 74,608,626,920.64/337,107.80
  6. Step 6: Final answer
    x = 221,319.79

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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.