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Finding the Fourth Proportional to 180,951.40, 270,908.70 and 160,215.40

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Solution

The fourth proportional to 180,951.40, 270,908.70 and 160,215.40 is: 239,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,951.40 : 270,908.70 = 160,215.40 : x
  2. Step 2: Convert to fraction form
    180,951.40/270,908.70 = 160,215.40/x
  3. Step 3: Cross multiply
    180,951.40x = 270,908.70 × 160,215.40
  4. Step 4: Simplify right side
    180,951.40x = 43,403,745,733.98
  5. Step 5: Solve for x
    x = 43,403,745,733.98/180,951.40
  6. Step 6: Final answer
    x = 239,864.11

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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.