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Finding the Fourth Proportional to 230,523.12, 343,981.74 and 182,595.12

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Solution

The fourth proportional to 230,523.12, 343,981.74 and 182,595.12 is: 272,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,523.12 : 343,981.74 = 182,595.12 : x
  2. Step 2: Convert to fraction form
    230,523.12/343,981.74 = 182,595.12/x
  3. Step 3: Cross multiply
    230,523.12x = 343,981.74 × 182,595.12
  4. Step 4: Simplify right side
    230,523.12x = 62,809,387,093.11
  5. Step 5: Solve for x
    x = 62,809,387,093.11/230,523.12
  6. Step 6: Final answer
    x = 272,464.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.