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Finding the Fourth Proportional to 119,919, 179,887.22 and 46,047

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Solution

The fourth proportional to 119,919, 179,887.22 and 46,047 is: 69,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,919 : 179,887.22 = 46,047 : x
  2. Step 2: Convert to fraction form
    119,919/179,887.22 = 46,047/x
  3. Step 3: Cross multiply
    119,919x = 179,887.22 × 46,047
  4. Step 4: Simplify right side
    119,919x = 8,283,266,819.34
  5. Step 5: Solve for x
    x = 8,283,266,819.34/119,919
  6. Step 6: Final answer
    x = 69,073.85

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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.