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Finding the Fourth Proportional to 224,574, 309,912.72 and 123,972

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Solution

The fourth proportional to 224,574, 309,912.72 and 123,972 is: 171,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,574 : 309,912.72 = 123,972 : x
  2. Step 2: Convert to fraction form
    224,574/309,912.72 = 123,972/x
  3. Step 3: Cross multiply
    224,574x = 309,912.72 × 123,972
  4. Step 4: Simplify right side
    224,574x = 38,420,499,723.84
  5. Step 5: Solve for x
    x = 38,420,499,723.84/224,574
  6. Step 6: Final answer
    x = 171,081.69

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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.