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Finding the Fourth Proportional to 218,281.80, 301,246.38 and 122,782.80

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Solution

The fourth proportional to 218,281.80, 301,246.38 and 122,782.80 is: 169,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,281.80 : 301,246.38 = 122,782.80 : x
  2. Step 2: Convert to fraction form
    218,281.80/301,246.38 = 122,782.80/x
  3. Step 3: Cross multiply
    218,281.80x = 301,246.38 × 122,782.80
  4. Step 4: Simplify right side
    218,281.80x = 36,987,874,026.26
  5. Step 5: Solve for x
    x = 36,987,874,026.26/218,281.80
  6. Step 6: Final answer
    x = 169,450.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.