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Finding the Fourth Proportional to 149,954.60, 224,709.96 and 65,636.84

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Solution

The fourth proportional to 149,954.60, 224,709.96 and 65,636.84 is: 98,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,954.60 : 224,709.96 = 65,636.84 : x
  2. Step 2: Convert to fraction form
    149,954.60/224,709.96 = 65,636.84/x
  3. Step 3: Cross multiply
    149,954.60x = 224,709.96 × 65,636.84
  4. Step 4: Simplify right side
    149,954.60x = 14,749,251,690.93
  5. Step 5: Solve for x
    x = 14,749,251,690.93/149,954.60
  6. Step 6: Final answer
    x = 98,358.11

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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.