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Finding the Fourth Proportional to 201,128.40, 301,433.40 and 154,148.40

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Solution

The fourth proportional to 201,128.40, 301,433.40 and 154,148.40 is: 231,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,128.40 : 301,433.40 = 154,148.40 : x
  2. Step 2: Convert to fraction form
    201,128.40/301,433.40 = 154,148.40/x
  3. Step 3: Cross multiply
    201,128.40x = 301,433.40 × 154,148.40
  4. Step 4: Simplify right side
    201,128.40x = 46,465,476,316.56
  5. Step 5: Solve for x
    x = 46,465,476,316.56/201,128.40
  6. Step 6: Final answer
    x = 231,023.94

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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.