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Finding the Fourth Proportional to 137,093.38, 205,563.66 and 42,296.65

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Solution

The fourth proportional to 137,093.38, 205,563.66 and 42,296.65 is: 63,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,093.38 : 205,563.66 = 42,296.65 : x
  2. Step 2: Convert to fraction form
    137,093.38/205,563.66 = 42,296.65/x
  3. Step 3: Cross multiply
    137,093.38x = 205,563.66 × 42,296.65
  4. Step 4: Simplify right side
    137,093.38x = 8,694,653,507.22
  5. Step 5: Solve for x
    x = 8,694,653,507.22/137,093.38
  6. Step 6: Final answer
    x = 63,421.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.