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Finding the Fourth Proportional to 180,285.50, 269,874.66 and 113,412.52

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Solution

The fourth proportional to 180,285.50, 269,874.66 and 113,412.52 is: 169,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,285.50 : 269,874.66 = 113,412.52 : x
  2. Step 2: Convert to fraction form
    180,285.50/269,874.66 = 113,412.52/x
  3. Step 3: Cross multiply
    180,285.50x = 269,874.66 × 113,412.52
  4. Step 4: Simplify right side
    180,285.50x = 30,607,163,925.37
  5. Step 5: Solve for x
    x = 30,607,163,925.37/180,285.50
  6. Step 6: Final answer
    x = 169,770.52

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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.