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Finding the Fourth Proportional to 193,384.20, 289,730.70 and 165,736.20

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Solution

The fourth proportional to 193,384.20, 289,730.70 and 165,736.20 is: 248,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,384.20 : 289,730.70 = 165,736.20 : x
  2. Step 2: Convert to fraction form
    193,384.20/289,730.70 = 165,736.20/x
  3. Step 3: Cross multiply
    193,384.20x = 289,730.70 × 165,736.20
  4. Step 4: Simplify right side
    193,384.20x = 48,018,865,241.34
  5. Step 5: Solve for x
    x = 48,018,865,241.34/193,384.20
  6. Step 6: Final answer
    x = 248,308.11

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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.