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Finding the Fourth Proportional to 224,632.94, 309,993.27 and 129,158.30

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Solution

The fourth proportional to 224,632.94, 309,993.27 and 129,158.30 is: 178,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,632.94 : 309,993.27 = 129,158.30 : x
  2. Step 2: Convert to fraction form
    224,632.94/309,993.27 = 129,158.30/x
  3. Step 3: Cross multiply
    224,632.94x = 309,993.27 × 129,158.30
  4. Step 4: Simplify right side
    224,632.94x = 40,038,203,764.64
  5. Step 5: Solve for x
    x = 40,038,203,764.64/224,632.94
  6. Step 6: Final answer
    x = 178,238.35

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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.