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Finding the Fourth Proportional to 180,262.44, 270,390.66 and 53,902.98

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Solution

The fourth proportional to 180,262.44, 270,390.66 and 53,902.98 is: 80,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,262.44 : 270,390.66 = 53,902.98 : x
  2. Step 2: Convert to fraction form
    180,262.44/270,390.66 = 53,902.98/x
  3. Step 3: Cross multiply
    180,262.44x = 270,390.66 × 53,902.98
  4. Step 4: Simplify right side
    180,262.44x = 14,574,862,338.17
  5. Step 5: Solve for x
    x = 14,574,862,338.17/180,262.44
  6. Step 6: Final answer
    x = 80,853.57

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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.