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Finding the Fourth Proportional to 149,199.92, 223,765.68 and 42,581.84

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Solution

The fourth proportional to 149,199.92, 223,765.68 and 42,581.84 is: 63,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,199.92 : 223,765.68 = 42,581.84 : x
  2. Step 2: Convert to fraction form
    149,199.92/223,765.68 = 42,581.84/x
  3. Step 3: Cross multiply
    149,199.92x = 223,765.68 × 42,581.84
  4. Step 4: Simplify right side
    149,199.92x = 9,528,354,383.25
  5. Step 5: Solve for x
    x = 9,528,354,383.25/149,199.92
  6. Step 6: Final answer
    x = 63,863.00

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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.