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Finding the Fourth Proportional to 201,254.10, 301,921.65 and 59,099.10

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Solution

The fourth proportional to 201,254.10, 301,921.65 and 59,099.10 is: 88,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,254.10 : 301,921.65 = 59,099.10 : x
  2. Step 2: Convert to fraction form
    201,254.10/301,921.65 = 59,099.10/x
  3. Step 3: Cross multiply
    201,254.10x = 301,921.65 × 59,099.10
  4. Step 4: Simplify right side
    201,254.10x = 17,843,297,785.52
  5. Step 5: Solve for x
    x = 17,843,297,785.52/201,254.10
  6. Step 6: Final answer
    x = 88,660.54

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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.