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Finding the Fourth Proportional to 202,941.67, 304,517.50 and 147,241.52

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Solution

The fourth proportional to 202,941.67, 304,517.50 and 147,241.52 is: 220,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,941.67 : 304,517.50 = 147,241.52 : x
  2. Step 2: Convert to fraction form
    202,941.67/304,517.50 = 147,241.52/x
  3. Step 3: Cross multiply
    202,941.67x = 304,517.50 × 147,241.52
  4. Step 4: Simplify right side
    202,941.67x = 44,837,619,566.60
  5. Step 5: Solve for x
    x = 44,837,619,566.60/202,941.67
  6. Step 6: Final answer
    x = 220,938.46

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Why These Related Problems?

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