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Finding the Fourth Proportional to 129,412.96, 178,583.07 and 72,827.98

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Solution

The fourth proportional to 129,412.96, 178,583.07 and 72,827.98 is: 100,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,412.96 : 178,583.07 = 72,827.98 : x
  2. Step 2: Convert to fraction form
    129,412.96/178,583.07 = 72,827.98/x
  3. Step 3: Cross multiply
    129,412.96x = 178,583.07 × 72,827.98
  4. Step 4: Simplify right side
    129,412.96x = 13,005,844,250.30
  5. Step 5: Solve for x
    x = 13,005,844,250.30/129,412.96
  6. Step 6: Final answer
    x = 100,498.78

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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.