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Finding the Fourth Proportional to 224,001.64, 309,131.94 and 127,203.54

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Solution

The fourth proportional to 224,001.64, 309,131.94 and 127,203.54 is: 175,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,001.64 : 309,131.94 = 127,203.54 : x
  2. Step 2: Convert to fraction form
    224,001.64/309,131.94 = 127,203.54/x
  3. Step 3: Cross multiply
    224,001.64x = 309,131.94 × 127,203.54
  4. Step 4: Simplify right side
    224,001.64x = 39,322,677,095.07
  5. Step 5: Solve for x
    x = 39,322,677,095.07/224,001.64
  6. Step 6: Final answer
    x = 175,546.38

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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.