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Finding the Fourth Proportional to 175,285, 242,354.18 and 167,451.40

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Solution

The fourth proportional to 175,285, 242,354.18 and 167,451.40 is: 231,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,285 : 242,354.18 = 167,451.40 : x
  2. Step 2: Convert to fraction form
    175,285/242,354.18 = 167,451.40/x
  3. Step 3: Cross multiply
    175,285x = 242,354.18 × 167,451.40
  4. Step 4: Simplify right side
    175,285x = 40,582,546,736.85
  5. Step 5: Solve for x
    x = 40,582,546,736.85/175,285
  6. Step 6: Final answer
    x = 231,523.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.