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Finding the Fourth Proportional to 119,713, 179,595.42 and 45,841

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Solution

The fourth proportional to 119,713, 179,595.42 and 45,841 is: 68,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,713 : 179,595.42 = 45,841 : x
  2. Step 2: Convert to fraction form
    119,713/179,595.42 = 45,841/x
  3. Step 3: Cross multiply
    119,713x = 179,595.42 × 45,841
  4. Step 4: Simplify right side
    119,713x = 8,232,833,648.22
  5. Step 5: Solve for x
    x = 8,232,833,648.22/119,713
  6. Step 6: Final answer
    x = 68,771.43

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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.