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Finding the Fourth Proportional to 129,130.39, 178,198.68 and 71,769.84

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Solution

The fourth proportional to 129,130.39, 178,198.68 and 71,769.84 is: 99,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,130.39 : 178,198.68 = 71,769.84 : x
  2. Step 2: Convert to fraction form
    129,130.39/178,198.68 = 71,769.84/x
  3. Step 3: Cross multiply
    129,130.39x = 178,198.68 × 71,769.84
  4. Step 4: Simplify right side
    129,130.39x = 12,789,290,751.81
  5. Step 5: Solve for x
    x = 12,789,290,751.81/129,130.39
  6. Step 6: Final answer
    x = 99,041.68

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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.