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Finding the Fourth Proportional to 302,011.94, 416,777.30 and 166,059.78

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Solution

The fourth proportional to 302,011.94, 416,777.30 and 166,059.78 is: 229,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,011.94 : 416,777.30 = 166,059.78 : x
  2. Step 2: Convert to fraction form
    302,011.94/416,777.30 = 166,059.78/x
  3. Step 3: Cross multiply
    302,011.94x = 416,777.30 × 166,059.78
  4. Step 4: Simplify right side
    302,011.94x = 69,209,946,746.99
  5. Step 5: Solve for x
    x = 69,209,946,746.99/302,011.94
  6. Step 6: Final answer
    x = 229,162.95

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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.