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Finding the Fourth Proportional to 129,852.10, 194,741.70 and 41,132.80

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Solution

The fourth proportional to 129,852.10, 194,741.70 and 41,132.80 is: 61,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,852.10 : 194,741.70 = 41,132.80 : x
  2. Step 2: Convert to fraction form
    129,852.10/194,741.70 = 41,132.80/x
  3. Step 3: Cross multiply
    129,852.10x = 194,741.70 × 41,132.80
  4. Step 4: Simplify right side
    129,852.10x = 8,010,271,397.76
  5. Step 5: Solve for x
    x = 8,010,271,397.76/129,852.10
  6. Step 6: Final answer
    x = 61,687.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.