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Finding the Fourth Proportional to 159,217.64, 238,817.82 and 48,401

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Solution

The fourth proportional to 159,217.64, 238,817.82 and 48,401 is: 72,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,217.64 : 238,817.82 = 48,401 : x
  2. Step 2: Convert to fraction form
    159,217.64/238,817.82 = 48,401/x
  3. Step 3: Cross multiply
    159,217.64x = 238,817.82 × 48,401
  4. Step 4: Simplify right side
    159,217.64x = 11,559,021,305.82
  5. Step 5: Solve for x
    x = 11,559,021,305.82/159,217.64
  6. Step 6: Final answer
    x = 72,598.87

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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.