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Finding the Fourth Proportional to 224,046, 309,184.44 and 123,441.84

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Solution

The fourth proportional to 224,046, 309,184.44 and 123,441.84 is: 170,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,046 : 309,184.44 = 123,441.84 : x
  2. Step 2: Convert to fraction form
    224,046/309,184.44 = 123,441.84/x
  3. Step 3: Cross multiply
    224,046x = 309,184.44 × 123,441.84
  4. Step 4: Simplify right side
    224,046x = 38,166,296,172.97
  5. Step 5: Solve for x
    x = 38,166,296,172.97/224,046
  6. Step 6: Final answer
    x = 170,350.27

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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.