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Finding the Fourth Proportional to 201,186.23, 301,826.07 and 59,025.78

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Solution

The fourth proportional to 201,186.23, 301,826.07 and 59,025.78 is: 88,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,186.23 : 301,826.07 = 59,025.78 : x
  2. Step 2: Convert to fraction form
    201,186.23/301,826.07 = 59,025.78/x
  3. Step 3: Cross multiply
    201,186.23x = 301,826.07 × 59,025.78
  4. Step 4: Simplify right side
    201,186.23x = 17,815,519,206.08
  5. Step 5: Solve for x
    x = 17,815,519,206.08/201,186.23
  6. Step 6: Final answer
    x = 88,552.38

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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.