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Finding the Fourth Proportional to 193,164.70, 289,401.45 and 165,516.70

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Solution

The fourth proportional to 193,164.70, 289,401.45 and 165,516.70 is: 247,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,164.70 : 289,401.45 = 165,516.70 : x
  2. Step 2: Convert to fraction form
    193,164.70/289,401.45 = 165,516.70/x
  3. Step 3: Cross multiply
    193,164.70x = 289,401.45 × 165,516.70
  4. Step 4: Simplify right side
    193,164.70x = 47,900,772,979.22
  5. Step 5: Solve for x
    x = 47,900,772,979.22/193,164.70
  6. Step 6: Final answer
    x = 247,978.92

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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.