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Finding the Fourth Proportional to 302,877.33, 417,989.21 and 166,911.27

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Solution

The fourth proportional to 302,877.33, 417,989.21 and 166,911.27 is: 230,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,877.33 : 417,989.21 = 166,911.27 : x
  2. Step 2: Convert to fraction form
    302,877.33/417,989.21 = 166,911.27/x
  3. Step 3: Cross multiply
    302,877.33x = 417,989.21 × 166,911.27
  4. Step 4: Simplify right side
    302,877.33x = 69,767,109,052.84
  5. Step 5: Solve for x
    x = 69,767,109,052.84/302,877.33
  6. Step 6: Final answer
    x = 230,347.74

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Why These Related Problems?

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