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Finding the Fourth Proportional to 299,731.05, 413,624.01 and 163,762.08

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Solution

The fourth proportional to 299,731.05, 413,624.01 and 163,762.08 is: 225,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,731.05 : 413,624.01 = 163,762.08 : x
  2. Step 2: Convert to fraction form
    299,731.05/413,624.01 = 163,762.08/x
  3. Step 3: Cross multiply
    299,731.05x = 413,624.01 × 163,762.08
  4. Step 4: Simplify right side
    299,731.05x = 67,735,928,215.54
  5. Step 5: Solve for x
    x = 67,735,928,215.54/299,731.05
  6. Step 6: Final answer
    x = 225,989.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.