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Finding the Fourth Proportional to 224,126.82, 309,291.18 and 122,153.48

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Solution

The fourth proportional to 224,126.82, 309,291.18 and 122,153.48 is: 168,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,126.82 : 309,291.18 = 122,153.48 : x
  2. Step 2: Convert to fraction form
    224,126.82/309,291.18 = 122,153.48/x
  3. Step 3: Cross multiply
    224,126.82x = 309,291.18 × 122,153.48
  4. Step 4: Simplify right side
    224,126.82x = 37,780,993,970.31
  5. Step 5: Solve for x
    x = 37,780,993,970.31/224,126.82
  6. Step 6: Final answer
    x = 168,569.71

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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.