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Finding the Fourth Proportional to 241,476.09, 362,214.13 and 83,704.54

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Solution

The fourth proportional to 241,476.09, 362,214.13 and 83,704.54 is: 125,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,476.09 : 362,214.13 = 83,704.54 : x
  2. Step 2: Convert to fraction form
    241,476.09/362,214.13 = 83,704.54/x
  3. Step 3: Cross multiply
    241,476.09x = 362,214.13 × 83,704.54
  4. Step 4: Simplify right side
    241,476.09x = 30,318,966,854.45
  5. Step 5: Solve for x
    x = 30,318,966,854.45/241,476.09
  6. Step 6: Final answer
    x = 125,556.81

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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.