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Finding the Fourth Proportional to 222,907.34, 307,612.09 and 127,416.09

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Solution

The fourth proportional to 222,907.34, 307,612.09 and 127,416.09 is: 175,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,907.34 : 307,612.09 = 127,416.09 : x
  2. Step 2: Convert to fraction form
    222,907.34/307,612.09 = 127,416.09/x
  3. Step 3: Cross multiply
    222,907.34x = 307,612.09 × 127,416.09
  4. Step 4: Simplify right side
    222,907.34x = 39,194,729,744.53
  5. Step 5: Solve for x
    x = 39,194,729,744.53/222,907.34
  6. Step 6: Final answer
    x = 175,834.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.