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Finding the Fourth Proportional to 180,258.64, 270,425.94 and 53,908.72

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Solution

The fourth proportional to 180,258.64, 270,425.94 and 53,908.72 is: 80,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,258.64 : 270,425.94 = 53,908.72 : x
  2. Step 2: Convert to fraction form
    180,258.64/270,425.94 = 53,908.72/x
  3. Step 3: Cross multiply
    180,258.64x = 270,425.94 × 53,908.72
  4. Step 4: Simplify right side
    180,258.64x = 14,578,316,280.20
  5. Step 5: Solve for x
    x = 14,578,316,280.20/180,258.64
  6. Step 6: Final answer
    x = 80,874.44

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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.