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Finding the Fourth Proportional to 275,880.93, 413,829.59 and 76,216.02

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Solution

The fourth proportional to 275,880.93, 413,829.59 and 76,216.02 is: 114,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,880.93 : 413,829.59 = 76,216.02 : x
  2. Step 2: Convert to fraction form
    275,880.93/413,829.59 = 76,216.02/x
  3. Step 3: Cross multiply
    275,880.93x = 413,829.59 × 76,216.02
  4. Step 4: Simplify right side
    275,880.93x = 31,540,443,926.95
  5. Step 5: Solve for x
    x = 31,540,443,926.95/275,880.93
  6. Step 6: Final answer
    x = 114,326.29

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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.