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Finding the Fourth Proportional to 422,749.68, 634,123.68 and 107,208.24

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Solution

The fourth proportional to 422,749.68, 634,123.68 and 107,208.24 is: 160,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,749.68 : 634,123.68 = 107,208.24 : x
  2. Step 2: Convert to fraction form
    422,749.68/634,123.68 = 107,208.24/x
  3. Step 3: Cross multiply
    422,749.68x = 634,123.68 × 107,208.24
  4. Step 4: Simplify right side
    422,749.68x = 67,983,283,675.12
  5. Step 5: Solve for x
    x = 67,983,283,675.12/422,749.68
  6. Step 6: Final answer
    x = 160,812.15

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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.