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Finding the Fourth Proportional to 180,263.31, 270,400.48 and 61,932.94

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Solution

The fourth proportional to 180,263.31, 270,400.48 and 61,932.94 is: 92,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,263.31 : 270,400.48 = 61,932.94 : x
  2. Step 2: Convert to fraction form
    180,263.31/270,400.48 = 61,932.94/x
  3. Step 3: Cross multiply
    180,263.31x = 270,400.48 × 61,932.94
  4. Step 4: Simplify right side
    180,263.31x = 16,746,695,872.98
  5. Step 5: Solve for x
    x = 16,746,695,872.98/180,263.31
  6. Step 6: Final answer
    x = 92,901.30

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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.