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Finding the Fourth Proportional to 180,003.10, 269,348.55 and 164,256.70

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Solution

The fourth proportional to 180,003.10, 269,348.55 and 164,256.70 is: 245,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.10 : 269,348.55 = 164,256.70 : x
  2. Step 2: Convert to fraction form
    180,003.10/269,348.55 = 164,256.70/x
  3. Step 3: Cross multiply
    180,003.10x = 269,348.55 × 164,256.70
  4. Step 4: Simplify right side
    180,003.10x = 44,242,303,972.79
  5. Step 5: Solve for x
    x = 44,242,303,972.79/180,003.10
  6. Step 6: Final answer
    x = 245,786.34

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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.