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Finding the Fourth Proportional to 202,446.60, 303,756.30 and 97,211.40

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Solution

The fourth proportional to 202,446.60, 303,756.30 and 97,211.40 is: 145,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446.60 : 303,756.30 = 97,211.40 : x
  2. Step 2: Convert to fraction form
    202,446.60/303,756.30 = 97,211.40/x
  3. Step 3: Cross multiply
    202,446.60x = 303,756.30 × 97,211.40
  4. Step 4: Simplify right side
    202,446.60x = 29,528,575,181.82
  5. Step 5: Solve for x
    x = 29,528,575,181.82/202,446.60
  6. Step 6: Final answer
    x = 145,858.59

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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.