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Finding the Fourth Proportional to 180,002.80, 269,485.80 and 174,818.80

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Solution

The fourth proportional to 180,002.80, 269,485.80 and 174,818.80 is: 261,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,002.80 : 269,485.80 = 174,818.80 : x
  2. Step 2: Convert to fraction form
    180,002.80/269,485.80 = 174,818.80/x
  3. Step 3: Cross multiply
    180,002.80x = 269,485.80 × 174,818.80
  4. Step 4: Simplify right side
    180,002.80x = 47,111,184,173.04
  5. Step 5: Solve for x
    x = 47,111,184,173.04/180,002.80
  6. Step 6: Final answer
    x = 261,724.73

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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.