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Finding the Fourth Proportional to 119,322, 178,984.08 and 36,216

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Solution

The fourth proportional to 119,322, 178,984.08 and 36,216 is: 54,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,322 : 178,984.08 = 36,216 : x
  2. Step 2: Convert to fraction form
    119,322/178,984.08 = 36,216/x
  3. Step 3: Cross multiply
    119,322x = 178,984.08 × 36,216
  4. Step 4: Simplify right side
    119,322x = 6,482,087,441.28
  5. Step 5: Solve for x
    x = 6,482,087,441.28/119,322
  6. Step 6: Final answer
    x = 54,324.33

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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.