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Finding the Fourth Proportional to 299,693.61, 449,557.74 and 112,706.73

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Solution

The fourth proportional to 299,693.61, 449,557.74 and 112,706.73 is: 169,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,693.61 : 449,557.74 = 112,706.73 : x
  2. Step 2: Convert to fraction form
    299,693.61/449,557.74 = 112,706.73/x
  3. Step 3: Cross multiply
    299,693.61x = 449,557.74 × 112,706.73
  4. Step 4: Simplify right side
    299,693.61x = 50,668,182,821.59
  5. Step 5: Solve for x
    x = 50,668,182,821.59/299,693.61
  6. Step 6: Final answer
    x = 169,066.61

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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.