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Finding the Fourth Proportional to 201,025.86, 301,492.73 and 119,995.76

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Solution

The fourth proportional to 201,025.86, 301,492.73 and 119,995.76 is: 179,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,025.86 : 301,492.73 = 119,995.76 : x
  2. Step 2: Convert to fraction form
    201,025.86/301,492.73 = 119,995.76/x
  3. Step 3: Cross multiply
    201,025.86x = 301,492.73 × 119,995.76
  4. Step 4: Simplify right side
    201,025.86x = 36,177,847,163.38
  5. Step 5: Solve for x
    x = 36,177,847,163.38/201,025.86
  6. Step 6: Final answer
    x = 179,966.14

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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.