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Finding the Fourth Proportional to 113,492.31, 170,211.12 and 50,277.48

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Solution

The fourth proportional to 113,492.31, 170,211.12 and 50,277.48 is: 75,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,492.31 : 170,211.12 = 50,277.48 : x
  2. Step 2: Convert to fraction form
    113,492.31/170,211.12 = 50,277.48/x
  3. Step 3: Cross multiply
    113,492.31x = 170,211.12 × 50,277.48
  4. Step 4: Simplify right side
    113,492.31x = 8,557,786,181.58
  5. Step 5: Solve for x
    x = 8,557,786,181.58/113,492.31
  6. Step 6: Final answer
    x = 75,404.11

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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.