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Finding the Fourth Proportional to 201,101.15, 301,647.11 and 101,234.53

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Solution

The fourth proportional to 201,101.15, 301,647.11 and 101,234.53 is: 151,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,101.15 : 301,647.11 = 101,234.53 : x
  2. Step 2: Convert to fraction form
    201,101.15/301,647.11 = 101,234.53/x
  3. Step 3: Cross multiply
    201,101.15x = 301,647.11 × 101,234.53
  4. Step 4: Simplify right side
    201,101.15x = 30,537,103,406.71
  5. Step 5: Solve for x
    x = 30,537,103,406.71/201,101.15
  6. Step 6: Final answer
    x = 151,849.47

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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.