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Finding the Fourth Proportional to 299,096.22, 448,729.02 and 121,730.52

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Solution

The fourth proportional to 299,096.22, 448,729.02 and 121,730.52 is: 182,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,096.22 : 448,729.02 = 121,730.52 : x
  2. Step 2: Convert to fraction form
    299,096.22/448,729.02 = 121,730.52/x
  3. Step 3: Cross multiply
    299,096.22x = 448,729.02 × 121,730.52
  4. Step 4: Simplify right side
    299,096.22x = 54,624,016,943.69
  5. Step 5: Solve for x
    x = 54,624,016,943.69/299,096.22
  6. Step 6: Final answer
    x = 182,630.25

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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.