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Finding the Fourth Proportional to 119,883, 179,833.14 and 46,011

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Solution

The fourth proportional to 119,883, 179,833.14 and 46,011 is: 69,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,883 : 179,833.14 = 46,011 : x
  2. Step 2: Convert to fraction form
    119,883/179,833.14 = 46,011/x
  3. Step 3: Cross multiply
    119,883x = 179,833.14 × 46,011
  4. Step 4: Simplify right side
    119,883x = 8,274,302,604.54
  5. Step 5: Solve for x
    x = 8,274,302,604.54/119,883
  6. Step 6: Final answer
    x = 69,019.82

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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.