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Finding the Fourth Proportional to 129,466.72, 178,658.64 and 72,876

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Solution

The fourth proportional to 129,466.72, 178,658.64 and 72,876 is: 100,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,466.72 : 178,658.64 = 72,876 : x
  2. Step 2: Convert to fraction form
    129,466.72/178,658.64 = 72,876/x
  3. Step 3: Cross multiply
    129,466.72x = 178,658.64 × 72,876
  4. Step 4: Simplify right side
    129,466.72x = 13,019,927,048.64
  5. Step 5: Solve for x
    x = 13,019,927,048.64/129,466.72
  6. Step 6: Final answer
    x = 100,565.82

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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.