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Finding the Fourth Proportional to 180,597.40, 270,939.84 and 54,237.40

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Solution

The fourth proportional to 180,597.40, 270,939.84 and 54,237.40 is: 81,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,597.40 : 270,939.84 = 54,237.40 : x
  2. Step 2: Convert to fraction form
    180,597.40/270,939.84 = 54,237.40/x
  3. Step 3: Cross multiply
    180,597.40x = 270,939.84 × 54,237.40
  4. Step 4: Simplify right side
    180,597.40x = 14,695,072,478.02
  5. Step 5: Solve for x
    x = 14,695,072,478.02/180,597.40
  6. Step 6: Final answer
    x = 81,369.24

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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.