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Finding the Fourth Proportional to 129,834.40, 194,751.60 and 59,850.40

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Solution

The fourth proportional to 129,834.40, 194,751.60 and 59,850.40 is: 89,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,834.40 : 194,751.60 = 59,850.40 : x
  2. Step 2: Convert to fraction form
    129,834.40/194,751.60 = 59,850.40/x
  3. Step 3: Cross multiply
    129,834.40x = 194,751.60 × 59,850.40
  4. Step 4: Simplify right side
    129,834.40x = 11,655,961,160.64
  5. Step 5: Solve for x
    x = 11,655,961,160.64/129,834.40
  6. Step 6: Final answer
    x = 89,775.60

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Why These Related Problems?

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