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Finding the Fourth Proportional to 168,023.76, 231,878.04 and 96,416.88

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Solution

The fourth proportional to 168,023.76, 231,878.04 and 96,416.88 is: 133,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,023.76 : 231,878.04 = 96,416.88 : x
  2. Step 2: Convert to fraction form
    168,023.76/231,878.04 = 96,416.88/x
  3. Step 3: Cross multiply
    168,023.76x = 231,878.04 × 96,416.88
  4. Step 4: Simplify right side
    168,023.76x = 22,356,957,157.32
  5. Step 5: Solve for x
    x = 22,356,957,157.32/168,023.76
  6. Step 6: Final answer
    x = 133,058.31

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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.