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Finding the Fourth Proportional to 218,329.84, 301,296.42 and 122,838.16

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Solution

The fourth proportional to 218,329.84, 301,296.42 and 122,838.16 is: 169,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,329.84 : 301,296.42 = 122,838.16 : x
  2. Step 2: Convert to fraction form
    218,329.84/301,296.42 = 122,838.16/x
  3. Step 3: Cross multiply
    218,329.84x = 301,296.42 × 122,838.16
  4. Step 4: Simplify right side
    218,329.84x = 37,010,697,847.39
  5. Step 5: Solve for x
    x = 37,010,697,847.39/218,329.84
  6. Step 6: Final answer
    x = 169,517.36

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