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Finding the Fourth Proportional to 129,004.92, 178,026.66 and 72,416.40

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Solution

The fourth proportional to 129,004.92, 178,026.66 and 72,416.40 is: 99,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,004.92 : 178,026.66 = 72,416.40 : x
  2. Step 2: Convert to fraction form
    129,004.92/178,026.66 = 72,416.40/x
  3. Step 3: Cross multiply
    129,004.92x = 178,026.66 × 72,416.40
  4. Step 4: Simplify right side
    129,004.92x = 12,892,049,821.22
  5. Step 5: Solve for x
    x = 12,892,049,821.22/129,004.92
  6. Step 6: Final answer
    x = 99,934.56

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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.