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Finding the Fourth Proportional to 201,760.16, 302,742.89 and 154,676.78

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Solution

The fourth proportional to 201,760.16, 302,742.89 and 154,676.78 is: 232,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760.16 : 302,742.89 = 154,676.78 : x
  2. Step 2: Convert to fraction form
    201,760.16/302,742.89 = 154,676.78/x
  3. Step 3: Cross multiply
    201,760.16x = 302,742.89 × 154,676.78
  4. Step 4: Simplify right side
    201,760.16x = 46,827,293,106.00
  5. Step 5: Solve for x
    x = 46,827,293,106.00/201,760.16
  6. Step 6: Final answer
    x = 232,093.86

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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.