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Finding the Fourth Proportional to 180,285.25, 269,874.29 and 113,412.27

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Solution

The fourth proportional to 180,285.25, 269,874.29 and 113,412.27 is: 169,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,285.25 : 269,874.29 = 113,412.27 : x
  2. Step 2: Convert to fraction form
    180,285.25/269,874.29 = 113,412.27/x
  3. Step 3: Cross multiply
    180,285.25x = 269,874.29 × 113,412.27
  4. Step 4: Simplify right side
    180,285.25x = 30,607,053,927.11
  5. Step 5: Solve for x
    x = 30,607,053,927.11/180,285.25
  6. Step 6: Final answer
    x = 169,770.15

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1.5x scale

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.