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Finding the Fourth Proportional to 299,693.88, 449,606.54 and 112,705.40

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Solution

The fourth proportional to 299,693.88, 449,606.54 and 112,705.40 is: 169,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,693.88 : 449,606.54 = 112,705.40 : x
  2. Step 2: Convert to fraction form
    299,693.88/449,606.54 = 112,705.40/x
  3. Step 3: Cross multiply
    299,693.88x = 449,606.54 × 112,705.40
  4. Step 4: Simplify right side
    299,693.88x = 50,673,084,933.32
  5. Step 5: Solve for x
    x = 50,673,084,933.32/299,693.88
  6. Step 6: Final answer
    x = 169,082.82

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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.