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Finding the Fourth Proportional to 216,277.78, 324,212.54 and 104,021.50

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Solution

The fourth proportional to 216,277.78, 324,212.54 and 104,021.50 is: 155,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,277.78 : 324,212.54 = 104,021.50 : x
  2. Step 2: Convert to fraction form
    216,277.78/324,212.54 = 104,021.50/x
  3. Step 3: Cross multiply
    216,277.78x = 324,212.54 × 104,021.50
  4. Step 4: Simplify right side
    216,277.78x = 33,725,074,729.61
  5. Step 5: Solve for x
    x = 33,725,074,729.61/216,277.78
  6. Step 6: Final answer
    x = 155,934.07

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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.