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Finding the Fourth Proportional to 180,330.40, 269,977.20 and 110,346.40

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Solution

The fourth proportional to 180,330.40, 269,977.20 and 110,346.40 is: 165,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,330.40 : 269,977.20 = 110,346.40 : x
  2. Step 2: Convert to fraction form
    180,330.40/269,977.20 = 110,346.40/x
  3. Step 3: Cross multiply
    180,330.40x = 269,977.20 × 110,346.40
  4. Step 4: Simplify right side
    180,330.40x = 29,791,012,102.08
  5. Step 5: Solve for x
    x = 29,791,012,102.08/180,330.40
  6. Step 6: Final answer
    x = 165,202.38

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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.