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Finding the Fourth Proportional to 215,924.75, 323,875.46 and 66,165.50

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Solution

The fourth proportional to 215,924.75, 323,875.46 and 66,165.50 is: 99,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,924.75 : 323,875.46 = 66,165.50 : x
  2. Step 2: Convert to fraction form
    215,924.75/323,875.46 = 66,165.50/x
  3. Step 3: Cross multiply
    215,924.75x = 323,875.46 × 66,165.50
  4. Step 4: Simplify right side
    215,924.75x = 21,429,379,798.43
  5. Step 5: Solve for x
    x = 21,429,379,798.43/215,924.75
  6. Step 6: Final answer
    x = 99,244.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.