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Finding the Fourth Proportional to 140,795.64, 194,298 and 84,207

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Solution

The fourth proportional to 140,795.64, 194,298 and 84,207 is: 116,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,795.64 : 194,298 = 84,207 : x
  2. Step 2: Convert to fraction form
    140,795.64/194,298 = 84,207/x
  3. Step 3: Cross multiply
    140,795.64x = 194,298 × 84,207
  4. Step 4: Simplify right side
    140,795.64x = 16,361,251,686
  5. Step 5: Solve for x
    x = 16,361,251,686/140,795.64
  6. Step 6: Final answer
    x = 116,205.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.