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Finding the Fourth Proportional to 129,857.19, 194,873.27 and 50,962.11

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Solution

The fourth proportional to 129,857.19, 194,873.27 and 50,962.11 is: 76,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,857.19 : 194,873.27 = 50,962.11 : x
  2. Step 2: Convert to fraction form
    129,857.19/194,873.27 = 50,962.11/x
  3. Step 3: Cross multiply
    129,857.19x = 194,873.27 × 50,962.11
  4. Step 4: Simplify right side
    129,857.19x = 9,931,152,766.99
  5. Step 5: Solve for x
    x = 9,931,152,766.99/129,857.19
  6. Step 6: Final answer
    x = 76,477.50

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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.