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Finding the Fourth Proportional to 224,495.69, 309,843.59 and 133,857.23

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Solution

The fourth proportional to 224,495.69, 309,843.59 and 133,857.23 is: 184,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,495.69 : 309,843.59 = 133,857.23 : x
  2. Step 2: Convert to fraction form
    224,495.69/309,843.59 = 133,857.23/x
  3. Step 3: Cross multiply
    224,495.69x = 309,843.59 × 133,857.23
  4. Step 4: Simplify right side
    224,495.69x = 41,474,802,472.15
  5. Step 5: Solve for x
    x = 41,474,802,472.15/224,495.69
  6. Step 6: Final answer
    x = 184,746.55

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1.5x scale

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.