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Finding the Fourth Proportional to 282,469.80, 423,567.90 and 164,175.24

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Solution

The fourth proportional to 282,469.80, 423,567.90 and 164,175.24 is: 246,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,469.80 : 423,567.90 = 164,175.24 : x
  2. Step 2: Convert to fraction form
    282,469.80/423,567.90 = 164,175.24/x
  3. Step 3: Cross multiply
    282,469.80x = 423,567.90 × 164,175.24
  4. Step 4: Simplify right side
    282,469.80x = 69,539,361,638.80
  5. Step 5: Solve for x
    x = 69,539,361,638.80/282,469.80
  6. Step 6: Final answer
    x = 246,183.35

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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.