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Finding the Fourth Proportional to 114,682.92, 171,936.84 and 64,819.32

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Solution

The fourth proportional to 114,682.92, 171,936.84 and 64,819.32 is: 97,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,682.92 : 171,936.84 = 64,819.32 : x
  2. Step 2: Convert to fraction form
    114,682.92/171,936.84 = 64,819.32/x
  3. Step 3: Cross multiply
    114,682.92x = 171,936.84 × 64,819.32
  4. Step 4: Simplify right side
    114,682.92x = 11,144,829,051.75
  5. Step 5: Solve for x
    x = 11,144,829,051.75/114,682.92
  6. Step 6: Final answer
    x = 97,179.50

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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.