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Finding the Fourth Proportional to 202,539.60, 303,663.60 and 113,820.30

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Solution

The fourth proportional to 202,539.60, 303,663.60 and 113,820.30 is: 170,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,539.60 : 303,663.60 = 113,820.30 : x
  2. Step 2: Convert to fraction form
    202,539.60/303,663.60 = 113,820.30/x
  3. Step 3: Cross multiply
    202,539.60x = 303,663.60 × 113,820.30
  4. Step 4: Simplify right side
    202,539.60x = 34,563,082,051.08
  5. Step 5: Solve for x
    x = 34,563,082,051.08/202,539.60
  6. Step 6: Final answer
    x = 170,648.52

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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.