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Finding the Fourth Proportional to 123,904.02, 185,790.14 and 49,021.14

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Solution

The fourth proportional to 123,904.02, 185,790.14 and 49,021.14 is: 73,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,904.02 : 185,790.14 = 49,021.14 : x
  2. Step 2: Convert to fraction form
    123,904.02/185,790.14 = 49,021.14/x
  3. Step 3: Cross multiply
    123,904.02x = 185,790.14 × 49,021.14
  4. Step 4: Simplify right side
    123,904.02x = 9,107,644,463.56
  5. Step 5: Solve for x
    x = 9,107,644,463.56/123,904.02
  6. Step 6: Final answer
    x = 73,505.64

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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.