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Finding the Fourth Proportional to 299,377.14, 449,064.45 and 121,842.06

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Solution

The fourth proportional to 299,377.14, 449,064.45 and 121,842.06 is: 182,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,377.14 : 449,064.45 = 121,842.06 : x
  2. Step 2: Convert to fraction form
    299,377.14/449,064.45 = 121,842.06/x
  3. Step 3: Cross multiply
    299,377.14x = 449,064.45 × 121,842.06
  4. Step 4: Simplify right side
    299,377.14x = 54,714,937,660.77
  5. Step 5: Solve for x
    x = 54,714,937,660.77/299,377.14
  6. Step 6: Final answer
    x = 182,762.58

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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.