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Finding the Fourth Proportional to 175,514.40, 263,174.40 and 75,657.60

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Solution

The fourth proportional to 175,514.40, 263,174.40 and 75,657.60 is: 113,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,514.40 : 263,174.40 = 75,657.60 : x
  2. Step 2: Convert to fraction form
    175,514.40/263,174.40 = 75,657.60/x
  3. Step 3: Cross multiply
    175,514.40x = 263,174.40 × 75,657.60
  4. Step 4: Simplify right side
    175,514.40x = 19,911,143,485.44
  5. Step 5: Solve for x
    x = 19,911,143,485.44/175,514.40
  6. Step 6: Final answer
    x = 113,444.50

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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.