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Finding the Fourth Proportional to 224,280.63, 309,507.21 and 123,678.63

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Solution

The fourth proportional to 224,280.63, 309,507.21 and 123,678.63 is: 170,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,280.63 : 309,507.21 = 123,678.63 : x
  2. Step 2: Convert to fraction form
    224,280.63/309,507.21 = 123,678.63/x
  3. Step 3: Cross multiply
    224,280.63x = 309,507.21 × 123,678.63
  4. Step 4: Simplify right side
    224,280.63x = 38,279,427,707.92
  5. Step 5: Solve for x
    x = 38,279,427,707.92/224,280.63
  6. Step 6: Final answer
    x = 170,676.48

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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.