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Finding the Fourth Proportional to 224,321.34, 309,552.52 and 133,675.30

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Solution

The fourth proportional to 224,321.34, 309,552.52 and 133,675.30 is: 184,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,321.34 : 309,552.52 = 133,675.30 : x
  2. Step 2: Convert to fraction form
    224,321.34/309,552.52 = 133,675.30/x
  3. Step 3: Cross multiply
    224,321.34x = 309,552.52 × 133,675.30
  4. Step 4: Simplify right side
    224,321.34x = 41,379,525,976.76
  5. Step 5: Solve for x
    x = 41,379,525,976.76/224,321.34
  6. Step 6: Final answer
    x = 184,465.40

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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.