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Finding the Fourth Proportional to 180,020.42, 270,068.90 and 61,659.98

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Solution

The fourth proportional to 180,020.42, 270,068.90 and 61,659.98 is: 92,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,020.42 : 270,068.90 = 61,659.98 : x
  2. Step 2: Convert to fraction form
    180,020.42/270,068.90 = 61,659.98/x
  3. Step 3: Cross multiply
    180,020.42x = 270,068.90 × 61,659.98
  4. Step 4: Simplify right side
    180,020.42x = 16,652,442,972.62
  5. Step 5: Solve for x
    x = 16,652,442,972.62/180,020.42
  6. Step 6: Final answer
    x = 92,503.08

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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.