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Finding the Fourth Proportional to 123,645.34, 185,451.20 and 34,905.99

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Solution

The fourth proportional to 123,645.34, 185,451.20 and 34,905.99 is: 52,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,645.34 : 185,451.20 = 34,905.99 : x
  2. Step 2: Convert to fraction form
    123,645.34/185,451.20 = 34,905.99/x
  3. Step 3: Cross multiply
    123,645.34x = 185,451.20 × 34,905.99
  4. Step 4: Simplify right side
    123,645.34x = 6,473,357,732.69
  5. Step 5: Solve for x
    x = 6,473,357,732.69/123,645.34
  6. Step 6: Final answer
    x = 52,354.24

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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.