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Finding the Fourth Proportional to 175,811.24, 263,697.50 and 49,455.50

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Solution

The fourth proportional to 175,811.24, 263,697.50 and 49,455.50 is: 74,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,811.24 : 263,697.50 = 49,455.50 : x
  2. Step 2: Convert to fraction form
    175,811.24/263,697.50 = 49,455.50/x
  3. Step 3: Cross multiply
    175,811.24x = 263,697.50 × 49,455.50
  4. Step 4: Simplify right side
    175,811.24x = 13,041,290,145.49
  5. Step 5: Solve for x
    x = 13,041,290,145.49/175,811.24
  6. Step 6: Final answer
    x = 74,177.80

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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.