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Finding the Fourth Proportional to 201,403.40, 301,845.90 and 154,423.40

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Solution

The fourth proportional to 201,403.40, 301,845.90 and 154,423.40 is: 231,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,403.40 : 301,845.90 = 154,423.40 : x
  2. Step 2: Convert to fraction form
    201,403.40/301,845.90 = 154,423.40/x
  3. Step 3: Cross multiply
    201,403.40x = 301,845.90 × 154,423.40
  4. Step 4: Simplify right side
    201,403.40x = 46,612,070,154.06
  5. Step 5: Solve for x
    x = 46,612,070,154.06/201,403.40
  6. Step 6: Final answer
    x = 231,436.36

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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.