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Finding the Fourth Proportional to 275,824, 413,736.02 and 88,835.50

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Solution

The fourth proportional to 275,824, 413,736.02 and 88,835.50 is: 133,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,824 : 413,736.02 = 88,835.50 : x
  2. Step 2: Convert to fraction form
    275,824/413,736.02 = 88,835.50/x
  3. Step 3: Cross multiply
    275,824x = 413,736.02 × 88,835.50
  4. Step 4: Simplify right side
    275,824x = 36,754,446,204.71
  5. Step 5: Solve for x
    x = 36,754,446,204.71/275,824
  6. Step 6: Final answer
    x = 133,253.26

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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.