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Finding the Fourth Proportional to 193,200.30, 289,800.45 and 164,659.95

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Solution

The fourth proportional to 193,200.30, 289,800.45 and 164,659.95 is: 246,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,200.30 : 289,800.45 = 164,659.95 : x
  2. Step 2: Convert to fraction form
    193,200.30/289,800.45 = 164,659.95/x
  3. Step 3: Cross multiply
    193,200.30x = 289,800.45 × 164,659.95
  4. Step 4: Simplify right side
    193,200.30x = 47,718,527,606.98
  5. Step 5: Solve for x
    x = 47,718,527,606.98/193,200.30
  6. Step 6: Final answer
    x = 246,989.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.