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Finding the Fourth Proportional to 129,288.54, 178,416.98 and 72,700.32

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Solution

The fourth proportional to 129,288.54, 178,416.98 and 72,700.32 is: 100,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,288.54 : 178,416.98 = 72,700.32 : x
  2. Step 2: Convert to fraction form
    129,288.54/178,416.98 = 72,700.32/x
  3. Step 3: Cross multiply
    129,288.54x = 178,416.98 × 72,700.32
  4. Step 4: Simplify right side
    129,288.54x = 12,970,971,539.43
  5. Step 5: Solve for x
    x = 12,970,971,539.43/129,288.54
  6. Step 6: Final answer
    x = 100,325.76

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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.