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Finding the Fourth Proportional to 129,873.60, 194,810.40 and 83,217.60

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Solution

The fourth proportional to 129,873.60, 194,810.40 and 83,217.60 is: 124,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,873.60 : 194,810.40 = 83,217.60 : x
  2. Step 2: Convert to fraction form
    129,873.60/194,810.40 = 83,217.60/x
  3. Step 3: Cross multiply
    129,873.60x = 194,810.40 × 83,217.60
  4. Step 4: Simplify right side
    129,873.60x = 16,211,653,943.04
  5. Step 5: Solve for x
    x = 16,211,653,943.04/129,873.60
  6. Step 6: Final answer
    x = 124,826.40

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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.