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Finding the Fourth Proportional to 201,244.10, 301,866.15 and 90,652.10

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Solution

The fourth proportional to 201,244.10, 301,866.15 and 90,652.10 is: 135,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,244.10 : 301,866.15 = 90,652.10 : x
  2. Step 2: Convert to fraction form
    201,244.10/301,866.15 = 90,652.10/x
  3. Step 3: Cross multiply
    201,244.10x = 301,866.15 × 90,652.10
  4. Step 4: Simplify right side
    201,244.10x = 27,364,800,416.42
  5. Step 5: Solve for x
    x = 27,364,800,416.42/201,244.10
  6. Step 6: Final answer
    x = 135,978.15

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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.