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Finding the Fourth Proportional to 229,284.10, 343,926.15 and 71,512.30

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Solution

The fourth proportional to 229,284.10, 343,926.15 and 71,512.30 is: 107,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,284.10 : 343,926.15 = 71,512.30 : x
  2. Step 2: Convert to fraction form
    229,284.10/343,926.15 = 71,512.30/x
  3. Step 3: Cross multiply
    229,284.10x = 343,926.15 × 71,512.30
  4. Step 4: Simplify right side
    229,284.10x = 24,594,950,016.65
  5. Step 5: Solve for x
    x = 24,594,950,016.65/229,284.10
  6. Step 6: Final answer
    x = 107,268.45

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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.