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Finding the Fourth Proportional to 202,012.40, 303,346.65 and 135,746.30

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Solution

The fourth proportional to 202,012.40, 303,346.65 and 135,746.30 is: 203,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012.40 : 303,346.65 = 135,746.30 : x
  2. Step 2: Convert to fraction form
    202,012.40/303,346.65 = 135,746.30/x
  3. Step 3: Cross multiply
    202,012.40x = 303,346.65 × 135,746.30
  4. Step 4: Simplify right side
    202,012.40x = 41,178,185,354.90
  5. Step 5: Solve for x
    x = 41,178,185,354.90/202,012.40
  6. Step 6: Final answer
    x = 203,839.89

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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.