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Finding the Fourth Proportional to 224,336.16, 309,573 and 133,690.14

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Solution

The fourth proportional to 224,336.16, 309,573 and 133,690.14 is: 184,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,336.16 : 309,573 = 133,690.14 : x
  2. Step 2: Convert to fraction form
    224,336.16/309,573 = 133,690.14/x
  3. Step 3: Cross multiply
    224,336.16x = 309,573 × 133,690.14
  4. Step 4: Simplify right side
    224,336.16x = 41,386,857,710.22
  5. Step 5: Solve for x
    x = 41,386,857,710.22/224,336.16
  6. Step 6: Final answer
    x = 184,485.90

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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.