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Finding the Fourth Proportional to 222,711.84, 307,749.12 and 162,176.64

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Solution

The fourth proportional to 222,711.84, 307,749.12 and 162,176.64 is: 224,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,711.84 : 307,749.12 = 162,176.64 : x
  2. Step 2: Convert to fraction form
    222,711.84/307,749.12 = 162,176.64/x
  3. Step 3: Cross multiply
    222,711.84x = 307,749.12 × 162,176.64
  4. Step 4: Simplify right side
    222,711.84x = 49,909,718,244.56
  5. Step 5: Solve for x
    x = 49,909,718,244.56/222,711.84
  6. Step 6: Final answer
    x = 224,099.98

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1.5x scale

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.