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Finding the Fourth Proportional to 180,401.64, 270,281.44 and 153,836.88

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Solution

The fourth proportional to 180,401.64, 270,281.44 and 153,836.88 is: 230,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,401.64 : 270,281.44 = 153,836.88 : x
  2. Step 2: Convert to fraction form
    180,401.64/270,281.44 = 153,836.88/x
  3. Step 3: Cross multiply
    180,401.64x = 270,281.44 × 153,836.88
  4. Step 4: Simplify right side
    180,401.64x = 41,579,253,451.51
  5. Step 5: Solve for x
    x = 41,579,253,451.51/180,401.64
  6. Step 6: Final answer
    x = 230,481.57

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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.