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Finding the Fourth Proportional to 129,021.36, 178,049.70 and 72,433.14

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Solution

The fourth proportional to 129,021.36, 178,049.70 and 72,433.14 is: 99,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,021.36 : 178,049.70 = 72,433.14 : x
  2. Step 2: Convert to fraction form
    129,021.36/178,049.70 = 72,433.14/x
  3. Step 3: Cross multiply
    129,021.36x = 178,049.70 × 72,433.14
  4. Step 4: Simplify right side
    129,021.36x = 12,896,698,847.06
  5. Step 5: Solve for x
    x = 12,896,698,847.06/129,021.36
  6. Step 6: Final answer
    x = 99,957.86

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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.