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Finding the Fourth Proportional to 224,409.61, 309,712.49 and 163,950

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Solution

The fourth proportional to 224,409.61, 309,712.49 and 163,950 is: 226,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,409.61 : 309,712.49 = 163,950 : x
  2. Step 2: Convert to fraction form
    224,409.61/309,712.49 = 163,950/x
  3. Step 3: Cross multiply
    224,409.61x = 309,712.49 × 163,950
  4. Step 4: Simplify right side
    224,409.61x = 50,777,362,735.50
  5. Step 5: Solve for x
    x = 50,777,362,735.50/224,409.61
  6. Step 6: Final answer
    x = 226,270.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.