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Finding the Fourth Proportional to 224,252.46, 309,543.38 and 133,636.84

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Solution

The fourth proportional to 224,252.46, 309,543.38 and 133,636.84 is: 184,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,252.46 : 309,543.38 = 133,636.84 : x
  2. Step 2: Convert to fraction form
    224,252.46/309,543.38 = 133,636.84/x
  3. Step 3: Cross multiply
    224,252.46x = 309,543.38 × 133,636.84
  4. Step 4: Simplify right side
    224,252.46x = 41,366,399,146.12
  5. Step 5: Solve for x
    x = 41,366,399,146.12/224,252.46
  6. Step 6: Final answer
    x = 184,463.52

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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.