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Finding the Fourth Proportional to 180,125.65, 270,193.97 and 61,795.32

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Solution

The fourth proportional to 180,125.65, 270,193.97 and 61,795.32 is: 92,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,125.65 : 270,193.97 = 61,795.32 : x
  2. Step 2: Convert to fraction form
    180,125.65/270,193.97 = 61,795.32/x
  3. Step 3: Cross multiply
    180,125.65x = 270,193.97 × 61,795.32
  4. Step 4: Simplify right side
    180,125.65x = 16,696,721,178.27
  5. Step 5: Solve for x
    x = 16,696,721,178.27/180,125.65
  6. Step 6: Final answer
    x = 92,694.86

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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.