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Finding the Fourth Proportional to 302,955.17, 418,102.22 and 167,013.41

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Solution

The fourth proportional to 302,955.17, 418,102.22 and 167,013.41 is: 230,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,955.17 : 418,102.22 = 167,013.41 : x
  2. Step 2: Convert to fraction form
    302,955.17/418,102.22 = 167,013.41/x
  3. Step 3: Cross multiply
    302,955.17x = 418,102.22 × 167,013.41
  4. Step 4: Simplify right side
    302,955.17x = 69,828,675,817.79
  5. Step 5: Solve for x
    x = 69,828,675,817.79/302,955.17
  6. Step 6: Final answer
    x = 230,491.78

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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.