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Finding the Fourth Proportional to 144,694.64, 216,997.32 and 51,178.88

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Solution

The fourth proportional to 144,694.64, 216,997.32 and 51,178.88 is: 76,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,694.64 : 216,997.32 = 51,178.88 : x
  2. Step 2: Convert to fraction form
    144,694.64/216,997.32 = 51,178.88/x
  3. Step 3: Cross multiply
    144,694.64x = 216,997.32 × 51,178.88
  4. Step 4: Simplify right side
    144,694.64x = 11,105,679,800.60
  5. Step 5: Solve for x
    x = 11,105,679,800.60/144,694.64
  6. Step 6: Final answer
    x = 76,752.53

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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.