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Finding the Fourth Proportional to 224,539.92, 309,857.33 and 133,849.13

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Solution

The fourth proportional to 224,539.92, 309,857.33 and 133,849.13 is: 184,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,539.92 : 309,857.33 = 133,849.13 : x
  2. Step 2: Convert to fraction form
    224,539.92/309,857.33 = 133,849.13/x
  3. Step 3: Cross multiply
    224,539.92x = 309,857.33 × 133,849.13
  4. Step 4: Simplify right side
    224,539.92x = 41,474,132,829.96
  5. Step 5: Solve for x
    x = 41,474,132,829.96/224,539.92
  6. Step 6: Final answer
    x = 184,707.17

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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.