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Finding the Fourth Proportional to 103,327.10, 154,954.20 and 47,194.10

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Solution

The fourth proportional to 103,327.10, 154,954.20 and 47,194.10 is: 70,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,327.10 : 154,954.20 = 47,194.10 : x
  2. Step 2: Convert to fraction form
    103,327.10/154,954.20 = 47,194.10/x
  3. Step 3: Cross multiply
    103,327.10x = 154,954.20 × 47,194.10
  4. Step 4: Simplify right side
    103,327.10x = 7,312,924,010.22
  5. Step 5: Solve for x
    x = 7,312,924,010.22/103,327.10
  6. Step 6: Final answer
    x = 70,774.50

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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.