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Finding the Fourth Proportional to 162,716.64, 244,083.60 and 51,900

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Solution

The fourth proportional to 162,716.64, 244,083.60 and 51,900 is: 77,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,716.64 : 244,083.60 = 51,900 : x
  2. Step 2: Convert to fraction form
    162,716.64/244,083.60 = 51,900/x
  3. Step 3: Cross multiply
    162,716.64x = 244,083.60 × 51,900
  4. Step 4: Simplify right side
    162,716.64x = 12,667,938,840
  5. Step 5: Solve for x
    x = 12,667,938,840/162,716.64
  6. Step 6: Final answer
    x = 77,852.76

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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.