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Finding the Fourth Proportional to 213,884.56, 295,182.68 and 123,243.96

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Solution

The fourth proportional to 213,884.56, 295,182.68 and 123,243.96 is: 170,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,884.56 : 295,182.68 = 123,243.96 : x
  2. Step 2: Convert to fraction form
    213,884.56/295,182.68 = 123,243.96/x
  3. Step 3: Cross multiply
    213,884.56x = 295,182.68 × 123,243.96
  4. Step 4: Simplify right side
    213,884.56x = 36,379,482,406.61
  5. Step 5: Solve for x
    x = 36,379,482,406.61/213,884.56
  6. Step 6: Final answer
    x = 170,089.33

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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.