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Finding the Fourth Proportional to 144,691.40, 217,037.10 and 51,206.60

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Solution

The fourth proportional to 144,691.40, 217,037.10 and 51,206.60 is: 76,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,691.40 : 217,037.10 = 51,206.60 : x
  2. Step 2: Convert to fraction form
    144,691.40/217,037.10 = 51,206.60/x
  3. Step 3: Cross multiply
    144,691.40x = 217,037.10 × 51,206.60
  4. Step 4: Simplify right side
    144,691.40x = 11,113,731,964.86
  5. Step 5: Solve for x
    x = 11,113,731,964.86/144,691.40
  6. Step 6: Final answer
    x = 76,809.90

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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.