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Finding the Fourth Proportional to 213,014.48, 319,552.44 and 65,282

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Solution

The fourth proportional to 213,014.48, 319,552.44 and 65,282 is: 97,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,014.48 : 319,552.44 = 65,282 : x
  2. Step 2: Convert to fraction form
    213,014.48/319,552.44 = 65,282/x
  3. Step 3: Cross multiply
    213,014.48x = 319,552.44 × 65,282
  4. Step 4: Simplify right side
    213,014.48x = 20,861,022,388.08
  5. Step 5: Solve for x
    x = 20,861,022,388.08/213,014.48
  6. Step 6: Final answer
    x = 97,932.41

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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.