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Finding the Fourth Proportional to 162,349.14, 224,022.41 and 89,742.23

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Solution

The fourth proportional to 162,349.14, 224,022.41 and 89,742.23 is: 123,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,349.14 : 224,022.41 = 89,742.23 : x
  2. Step 2: Convert to fraction form
    162,349.14/224,022.41 = 89,742.23/x
  3. Step 3: Cross multiply
    162,349.14x = 224,022.41 × 89,742.23
  4. Step 4: Simplify right side
    162,349.14x = 20,104,269,074.55
  5. Step 5: Solve for x
    x = 20,104,269,074.55/162,349.14
  6. Step 6: Final answer
    x = 123,833.54

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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.