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Finding the Fourth Proportional to 202,938.30, 304,407.45 and 201,771.90

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Solution

The fourth proportional to 202,938.30, 304,407.45 and 201,771.90 is: 302,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,938.30 : 304,407.45 = 201,771.90 : x
  2. Step 2: Convert to fraction form
    202,938.30/304,407.45 = 201,771.90/x
  3. Step 3: Cross multiply
    202,938.30x = 304,407.45 × 201,771.90
  4. Step 4: Simplify right side
    202,938.30x = 61,420,869,560.66
  5. Step 5: Solve for x
    x = 61,420,869,560.66/202,938.30
  6. Step 6: Final answer
    x = 302,657.85

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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.