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Finding the Fourth Proportional to 331,196.50, 457,051.26 and 180,293.50

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Solution

The fourth proportional to 331,196.50, 457,051.26 and 180,293.50 is: 248,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,196.50 : 457,051.26 = 180,293.50 : x
  2. Step 2: Convert to fraction form
    331,196.50/457,051.26 = 180,293.50/x
  3. Step 3: Cross multiply
    331,196.50x = 457,051.26 × 180,293.50
  4. Step 4: Simplify right side
    331,196.50x = 82,403,371,344.81
  5. Step 5: Solve for x
    x = 82,403,371,344.81/331,196.50
  6. Step 6: Final answer
    x = 248,805.08

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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.