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Finding the Fourth Proportional to 131,464.70, 197,197.05 and 117,640.70

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Solution

The fourth proportional to 131,464.70, 197,197.05 and 117,640.70 is: 176,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,464.70 : 197,197.05 = 117,640.70 : x
  2. Step 2: Convert to fraction form
    131,464.70/197,197.05 = 117,640.70/x
  3. Step 3: Cross multiply
    131,464.70x = 197,197.05 × 117,640.70
  4. Step 4: Simplify right side
    131,464.70x = 23,198,398,999.94
  5. Step 5: Solve for x
    x = 23,198,398,999.94/131,464.70
  6. Step 6: Final answer
    x = 176,461.05

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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.