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Finding the Fourth Proportional to 363,188.56, 544,782.84 and 113,890

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Solution

The fourth proportional to 363,188.56, 544,782.84 and 113,890 is: 170,835

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,188.56 : 544,782.84 = 113,890 : x
  2. Step 2: Convert to fraction form
    363,188.56/544,782.84 = 113,890/x
  3. Step 3: Cross multiply
    363,188.56x = 544,782.84 × 113,890
  4. Step 4: Simplify right side
    363,188.56x = 62,045,317,647.60
  5. Step 5: Solve for x
    x = 62,045,317,647.60/363,188.56
  6. Step 6: Final answer
    x = 170,835

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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.