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Finding the Fourth Proportional to 224,342.25, 309,581.37 and 133,696.14

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Solution

The fourth proportional to 224,342.25, 309,581.37 and 133,696.14 is: 184,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,342.25 : 309,581.37 = 133,696.14 : x
  2. Step 2: Convert to fraction form
    224,342.25/309,581.37 = 133,696.14/x
  3. Step 3: Cross multiply
    224,342.25x = 309,581.37 × 133,696.14
  4. Step 4: Simplify right side
    224,342.25x = 41,389,834,184.91
  5. Step 5: Solve for x
    x = 41,389,834,184.91/224,342.25
  6. Step 6: Final answer
    x = 184,494.16

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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.