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Finding the Fourth Proportional to 231,232.80, 346,330.80 and 200,128.80

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Solution

The fourth proportional to 231,232.80, 346,330.80 and 200,128.80 is: 299,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,232.80 : 346,330.80 = 200,128.80 : x
  2. Step 2: Convert to fraction form
    231,232.80/346,330.80 = 200,128.80/x
  3. Step 3: Cross multiply
    231,232.80x = 346,330.80 × 200,128.80
  4. Step 4: Simplify right side
    231,232.80x = 69,310,767,407.04
  5. Step 5: Solve for x
    x = 69,310,767,407.04/231,232.80
  6. Step 6: Final answer
    x = 299,744.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.