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Finding the Fourth Proportional to 193,386.20, 289,733.70 and 165,738.20

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Solution

The fourth proportional to 193,386.20, 289,733.70 and 165,738.20 is: 248,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,386.20 : 289,733.70 = 165,738.20 : x
  2. Step 2: Convert to fraction form
    193,386.20/289,733.70 = 165,738.20/x
  3. Step 3: Cross multiply
    193,386.20x = 289,733.70 × 165,738.20
  4. Step 4: Simplify right side
    193,386.20x = 48,019,941,917.34
  5. Step 5: Solve for x
    x = 48,019,941,917.34/193,386.20
  6. Step 6: Final answer
    x = 248,311.11

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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.