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Finding the Fourth Proportional to 302,313.28, 417,192.72 and 168,177.28

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Solution

The fourth proportional to 302,313.28, 417,192.72 and 168,177.28 is: 232,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,313.28 : 417,192.72 = 168,177.28 : x
  2. Step 2: Convert to fraction form
    302,313.28/417,192.72 = 168,177.28/x
  3. Step 3: Cross multiply
    302,313.28x = 417,192.72 × 168,177.28
  4. Step 4: Simplify right side
    302,313.28x = 70,162,336,885.40
  5. Step 5: Solve for x
    x = 70,162,336,885.40/302,313.28
  6. Step 6: Final answer
    x = 232,084.87

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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.