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Finding the Fourth Proportional to 231,833.32, 347,751.80 and 82,074.24

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Solution

The fourth proportional to 231,833.32, 347,751.80 and 82,074.24 is: 123,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,833.32 : 347,751.80 = 82,074.24 : x
  2. Step 2: Convert to fraction form
    231,833.32/347,751.80 = 82,074.24/x
  3. Step 3: Cross multiply
    231,833.32x = 347,751.80 × 82,074.24
  4. Step 4: Simplify right side
    231,833.32x = 28,541,464,693.63
  5. Step 5: Solve for x
    x = 28,541,464,693.63/231,833.32
  6. Step 6: Final answer
    x = 123,112.00

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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.