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Finding the Fourth Proportional to 177,409.20, 266,165.64 and 52,753.20

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Solution

The fourth proportional to 177,409.20, 266,165.64 and 52,753.20 is: 79,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,409.20 : 266,165.64 = 52,753.20 : x
  2. Step 2: Convert to fraction form
    177,409.20/266,165.64 = 52,753.20/x
  3. Step 3: Cross multiply
    177,409.20x = 266,165.64 × 52,753.20
  4. Step 4: Simplify right side
    177,409.20x = 14,041,089,240.05
  5. Step 5: Solve for x
    x = 14,041,089,240.05/177,409.20
  6. Step 6: Final answer
    x = 79,145.21

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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.