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Finding the Fourth Proportional to 302,195.38, 417,044.37 and 168,056.50

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Solution

The fourth proportional to 302,195.38, 417,044.37 and 168,056.50 is: 231,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,195.38 : 417,044.37 = 168,056.50 : x
  2. Step 2: Convert to fraction form
    302,195.38/417,044.37 = 168,056.50/x
  3. Step 3: Cross multiply
    302,195.38x = 417,044.37 × 168,056.50
  4. Step 4: Simplify right side
    302,195.38x = 70,087,017,166.91
  5. Step 5: Solve for x
    x = 70,087,017,166.91/302,195.38
  6. Step 6: Final answer
    x = 231,926.17

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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.