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Finding the Fourth Proportional to 180,554.12, 270,856.40 and 75,349

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Solution

The fourth proportional to 180,554.12, 270,856.40 and 75,349 is: 113,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,554.12 : 270,856.40 = 75,349 : x
  2. Step 2: Convert to fraction form
    180,554.12/270,856.40 = 75,349/x
  3. Step 3: Cross multiply
    180,554.12x = 270,856.40 × 75,349
  4. Step 4: Simplify right side
    180,554.12x = 20,408,758,883.60
  5. Step 5: Solve for x
    x = 20,408,758,883.60/180,554.12
  6. Step 6: Final answer
    x = 113,034.02

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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.