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Finding the Fourth Proportional to 175,421.20, 263,175 and 50,774.80

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Solution

The fourth proportional to 175,421.20, 263,175 and 50,774.80 is: 76,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,421.20 : 263,175 = 50,774.80 : x
  2. Step 2: Convert to fraction form
    175,421.20/263,175 = 50,774.80/x
  3. Step 3: Cross multiply
    175,421.20x = 263,175 × 50,774.80
  4. Step 4: Simplify right side
    175,421.20x = 13,362,657,990
  5. Step 5: Solve for x
    x = 13,362,657,990/175,421.20
  6. Step 6: Final answer
    x = 76,174.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.