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Finding the Fourth Proportional to 222,508.74, 307,084.08 and 127,029.84

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Solution

The fourth proportional to 222,508.74, 307,084.08 and 127,029.84 is: 175,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,508.74 : 307,084.08 = 127,029.84 : x
  2. Step 2: Convert to fraction form
    222,508.74/307,084.08 = 127,029.84/x
  3. Step 3: Cross multiply
    222,508.74x = 307,084.08 × 127,029.84
  4. Step 4: Simplify right side
    222,508.74x = 39,008,841,548.95
  5. Step 5: Solve for x
    x = 39,008,841,548.95/222,508.74
  6. Step 6: Final answer
    x = 175,313.75

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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.