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Finding the Fourth Proportional to 213,818.19, 295,065.34 and 123,173.88

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Solution

The fourth proportional to 213,818.19, 295,065.34 and 123,173.88 is: 169,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,818.19 : 295,065.34 = 123,173.88 : x
  2. Step 2: Convert to fraction form
    213,818.19/295,065.34 = 123,173.88/x
  3. Step 3: Cross multiply
    213,818.19x = 295,065.34 × 123,173.88
  4. Step 4: Simplify right side
    213,818.19x = 36,344,342,781.32
  5. Step 5: Solve for x
    x = 36,344,342,781.32/213,818.19
  6. Step 6: Final answer
    x = 169,977.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.