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Finding the Fourth Proportional to 230,796, 318,498.48 and 163,844.64

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Solution

The fourth proportional to 230,796, 318,498.48 and 163,844.64 is: 226,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,796 : 318,498.48 = 163,844.64 : x
  2. Step 2: Convert to fraction form
    230,796/318,498.48 = 163,844.64/x
  3. Step 3: Cross multiply
    230,796x = 318,498.48 × 163,844.64
  4. Step 4: Simplify right side
    230,796x = 52,184,268,796.15
  5. Step 5: Solve for x
    x = 52,184,268,796.15/230,796
  6. Step 6: Final answer
    x = 226,105.60

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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.