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Finding the Fourth Proportional to 213,236.82, 319,160.82 and 157,054.80

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Solution

The fourth proportional to 213,236.82, 319,160.82 and 157,054.80 is: 235,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,236.82 : 319,160.82 = 157,054.80 : x
  2. Step 2: Convert to fraction form
    213,236.82/319,160.82 = 157,054.80/x
  3. Step 3: Cross multiply
    213,236.82x = 319,160.82 × 157,054.80
  4. Step 4: Simplify right side
    213,236.82x = 50,125,738,752.94
  5. Step 5: Solve for x
    x = 50,125,738,752.94/213,236.82
  6. Step 6: Final answer
    x = 235,070.75

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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.