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Finding the Fourth Proportional to 180,506.88, 270,935.28 and 87,078.24

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Solution

The fourth proportional to 180,506.88, 270,935.28 and 87,078.24 is: 130,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,506.88 : 270,935.28 = 87,078.24 : x
  2. Step 2: Convert to fraction form
    180,506.88/270,935.28 = 87,078.24/x
  3. Step 3: Cross multiply
    180,506.88x = 270,935.28 × 87,078.24
  4. Step 4: Simplify right side
    180,506.88x = 23,592,567,336.31
  5. Step 5: Solve for x
    x = 23,592,567,336.31/180,506.88
  6. Step 6: Final answer
    x = 130,701.76

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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.