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Finding the Fourth Proportional to 224,249.32, 309,457.70 and 123,647.40

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Solution

The fourth proportional to 224,249.32, 309,457.70 and 123,647.40 is: 170,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,249.32 : 309,457.70 = 123,647.40 : x
  2. Step 2: Convert to fraction form
    224,249.32/309,457.70 = 123,647.40/x
  3. Step 3: Cross multiply
    224,249.32x = 309,457.70 × 123,647.40
  4. Step 4: Simplify right side
    224,249.32x = 38,263,640,014.98
  5. Step 5: Solve for x
    x = 38,263,640,014.98/224,249.32
  6. Step 6: Final answer
    x = 170,629.90

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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.