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Finding the Fourth Proportional to 192,334.36, 288,534.48 and 59,212

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Solution

The fourth proportional to 192,334.36, 288,534.48 and 59,212 is: 88,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,334.36 : 288,534.48 = 59,212 : x
  2. Step 2: Convert to fraction form
    192,334.36/288,534.48 = 59,212/x
  3. Step 3: Cross multiply
    192,334.36x = 288,534.48 × 59,212
  4. Step 4: Simplify right side
    192,334.36x = 17,084,703,629.76
  5. Step 5: Solve for x
    x = 17,084,703,629.76/192,334.36
  6. Step 6: Final answer
    x = 88,828.14

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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.