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Finding the Fourth Proportional to 136,214.50, 204,321.75 and 37,718.50

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Solution

The fourth proportional to 136,214.50, 204,321.75 and 37,718.50 is: 56,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,214.50 : 204,321.75 = 37,718.50 : x
  2. Step 2: Convert to fraction form
    136,214.50/204,321.75 = 37,718.50/x
  3. Step 3: Cross multiply
    136,214.50x = 204,321.75 × 37,718.50
  4. Step 4: Simplify right side
    136,214.50x = 7,706,709,927.38
  5. Step 5: Solve for x
    x = 7,706,709,927.38/136,214.50
  6. Step 6: Final answer
    x = 56,577.75

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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.