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Finding the Fourth Proportional to 229,625, 344,442.25 and 83,559.91

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Solution

The fourth proportional to 229,625, 344,442.25 and 83,559.91 is: 125,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,625 : 344,442.25 = 83,559.91 : x
  2. Step 2: Convert to fraction form
    229,625/344,442.25 = 83,559.91/x
  3. Step 3: Cross multiply
    229,625x = 344,442.25 × 83,559.91
  4. Step 4: Simplify right side
    229,625x = 28,781,563,410.20
  5. Step 5: Solve for x
    x = 28,781,563,410.20/229,625
  6. Step 6: Final answer
    x = 125,341.59

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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.