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Finding the Fourth Proportional to 302,932.92, 418,041.84 and 165,113.04

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Solution

The fourth proportional to 302,932.92, 418,041.84 and 165,113.04 is: 227,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,932.92 : 418,041.84 = 165,113.04 : x
  2. Step 2: Convert to fraction form
    302,932.92/418,041.84 = 165,113.04/x
  3. Step 3: Cross multiply
    302,932.92x = 418,041.84 × 165,113.04
  4. Step 4: Simplify right side
    302,932.92x = 69,024,159,049.59
  5. Step 5: Solve for x
    x = 69,024,159,049.59/302,932.92
  6. Step 6: Final answer
    x = 227,852.95

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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.