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Finding the Fourth Proportional to 224,961.06, 310,403.42 and 133,094.76

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Solution

The fourth proportional to 224,961.06, 310,403.42 and 133,094.76 is: 183,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,961.06 : 310,403.42 = 133,094.76 : x
  2. Step 2: Convert to fraction form
    224,961.06/310,403.42 = 133,094.76/x
  3. Step 3: Cross multiply
    224,961.06x = 310,403.42 × 133,094.76
  4. Step 4: Simplify right side
    224,961.06x = 41,313,067,357.70
  5. Step 5: Solve for x
    x = 41,313,067,357.70/224,961.06
  6. Step 6: Final answer
    x = 183,645.41

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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.