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Finding the Fourth Proportional to 201,204.10, 301,846.65 and 59,049.10

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Solution

The fourth proportional to 201,204.10, 301,846.65 and 59,049.10 is: 88,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.10 : 301,846.65 = 59,049.10 : x
  2. Step 2: Convert to fraction form
    201,204.10/301,846.65 = 59,049.10/x
  3. Step 3: Cross multiply
    201,204.10x = 301,846.65 × 59,049.10
  4. Step 4: Simplify right side
    201,204.10x = 17,823,773,020.52
  5. Step 5: Solve for x
    x = 17,823,773,020.52/201,204.10
  6. Step 6: Final answer
    x = 88,585.54

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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.