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Finding the Fourth Proportional to 201,046.40, 301,310.40 and 154,066.40

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Solution

The fourth proportional to 201,046.40, 301,310.40 and 154,066.40 is: 230,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,046.40 : 301,310.40 = 154,066.40 : x
  2. Step 2: Convert to fraction form
    201,046.40/301,310.40 = 154,066.40/x
  3. Step 3: Cross multiply
    201,046.40x = 301,310.40 × 154,066.40
  4. Step 4: Simplify right side
    201,046.40x = 46,421,808,610.56
  5. Step 5: Solve for x
    x = 46,421,808,610.56/201,046.40
  6. Step 6: Final answer
    x = 230,900.97

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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.