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Finding the Fourth Proportional to 202,317.55, 303,433.80 and 102,383.80

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Solution

The fourth proportional to 202,317.55, 303,433.80 and 102,383.80 is: 153,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,317.55 : 303,433.80 = 102,383.80 : x
  2. Step 2: Convert to fraction form
    202,317.55/303,433.80 = 102,383.80/x
  3. Step 3: Cross multiply
    202,317.55x = 303,433.80 × 102,383.80
  4. Step 4: Simplify right side
    202,317.55x = 31,066,705,492.44
  5. Step 5: Solve for x
    x = 31,066,705,492.44/202,317.55
  6. Step 6: Final answer
    x = 153,554.18

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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.